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    Education

    • B.Sc.Hons. (Mathematics), James Cook U.of North Queensland, ออสเตรเลีย, 2518
    • M.Sc. (Mathematics), The University of Adelaide, ออสเตรเลีย, 2521
    • Ph.D. (Mathematics), University of Illinois, สหรัฐอเมริกา, 2527

    Expertise Cloud

    additive functionArithmetic functionarithmetic functionsBrun's criterionCauchy's functional equationclosed form solutionscoefficientsCohen egyptian expansioncomplete multiplicativityComplete residue systemcontinued fractionsdecidabilityDirichlet seriesexponential polynomialsfinite fieldfinite fieldsfunctional equationHyers-Ulam stabilityhyperbolic cotangent-tangent functionsImaginary quadratic fieldincreasing sequencesindependenceInfinite valuationinteger sequencesinteger zerosinteger-valued polynomialinterlaceInterpolation polynomialsIterative functional equationsmonotone functionsmultiple of $\pi$Multiplicativemultiplicative and complete multiplicative functionsmultiplicative functionMultiplicative functionsmultiplicativitynecklacesnon-archimedean valuationnon-degenerate convex n-gonnon-integer basesnon-regular continued fractionNumber TheoryNumber TheoryOn the distribution of the r-full primitOppenheim series expansionsorderordered fieldsp-adic Cantor series expansionsp-adic exponential polynomialperiodic expansionPermanentpermutation polynomialsPexider equationsPolynomial sequencePolynomial sequencespolynomialspositive coefficientsPositivity problemq-cyclesquadratic fieldquadratic functional equationQuadratic functional equationsquadratic integerQuadratic irrationalsrational numbersRational recursive equationsrationalityreal partreal zerosreciprocal sumreciprocal sumsreciprocalsrecurrencerecurrence relationsrecurrence sequencesrecurrent step equationsrecursive equationsRegularity assumptionRing of integerRing of integersRoth’s theoremRuban continued fractionScheicher-Thuswaldner digit system.Schneider continued fractionself-reciprocal polynomialsSequence over integral domainseries expansionshort intervals.Souriau-Hsu-Mobius functionstabilitysuperstabilitysymmetric continued fractionsSymmetric matricestangent functionsthe Skolem-Mahler-Lech propertytotientstranscendencetribonacci numberstrigonometric functional equationtrigonometric functional equations

    Interest

    Number Theory, Classical Analysis

    Administrative Profile


      Resource

      • จำนวนหน่วยปฏิบัติการที่เข้าร่วม 0 หน่วย
      • จำนวนเครื่องมือวิจัย 0 ชิ้น

      งานวิจัยในรอบ 5 ปี

      Project

      งานวิจัยที่อยู่ระหว่างการดำเนินการ
      • ทุนใน 1 โครงการ (ที่ปรึกษาโครงการ 1 โครงการ)
      • ทุนนอก 0 โครงการ
      งานวิจัยที่เสร็จสิ้นแล้ว
      • ทุนใน 3 โครงการ (หัวหน้าโครงการ 2 โครงการ, ผู้ร่วมวิจัย 1 โครงการ)
      • ทุนนอก 8 โครงการ (หัวหน้าโครงการ 3 โครงการ, ผู้ร่วมวิจัย 5 โครงการ)

      แนวโน้มผลงานทั้งหมดเทียบกับแนวโน้มผลงานในรอบ 5 ปี

      Output

      • บทความ 166 เรื่อง (ตีพิมพ์ในวารสารวิชาการ 126 เรื่อง, นำเสนอในการประชุม/สัมมนา 40 เรื่อง)

      แนวโน้มการนำผลงานไปใช้ประโยชน์ในด้านต่างๆ

      Outcome

      • การนำผลงานไปใช้ประโยชน์ 2 เรื่อง (เชิงวิชาการ 2 เรื่อง, เชิงนโยบาย/บริหาร 0 เรื่อง, เชิงสาธารณะ 0 เรื่อง, เชิงพาณิชย์ 0 เรื่อง)

      รางวัลที่ได้รับ

      Award

      • รางวัลที่ได้รับ 5 เรื่อง (ประกาศเกียรติคุณ/รางวัลนักวิจัย 4 เรื่อง, รางวัลผลงานวิจัย/สิ่งประดิษฐ์ 1 เรื่อง, รางวัลผลงานนำเสนอในการประชุมวิชาการ 0 เรื่อง)

      นักวิจัยที่มีผลงานงานร่วมกันมากที่สุด 10 คนแรก

      Person Relation

      Show All (129)

      Scopus h-index

      #Document titleAuthorsYearSourceCited by
      1On the sum of reciprocals of numbers satisfying a recurrence relation of order sKomatsu T., Laohakosol V.2010Journal of Integer Sequences
      13(5),pp. 1-9
      16
      2Positivity of third order linear recurrence sequencesLaohakosol V., Tangsupphathawat P.2009Discrete Applied Mathematics
      157(15),pp. 3239-3248
      14
      3A characterization of rational numbers by p-adic ruban continued fractionsLaohakosol V.1985Journal of the Australian Mathematical Society
      39(3),pp. 300-305
      13
      4P-adic continued fractions of liouville typeLaohakosol V., Ubolsri P.1987Proceedings of the American Mathematical Society
      101(3),pp. 403-410
      9
      5A generalization of poly-Cauchy numbers and their propertiesKomatsu T., Laohakosol V., Liptai K.2013Abstract and Applied Analysis
      2013
      8
      6Independence measures of arithmetic functionsKomatsu T., Laohakosol V., Ruengsinsub P.2011Journal of Number Theory
      131(1),pp. 1-17
      7
      7Dependence of arithmetic functions and dirichlet seriesLaohakosol V.1992Proceedings of the American Mathematical Society
      115(3),pp. 637-645
      7
      8Characterizing completely multiplicative functions by generalized möbius functionsLaohakosol V., Pabhapote N., Wechwiriyakul N.2002International Journal of Mathematics and Mathematical Sciences
      29(11),pp. 633-639
      7
      9Exact solutions of iterative functional differential equationsCheng S., Talwong S., Laohakosol V.2006Computing (Vienna/New York)
      76(1-2),pp. 67-76
      5
      10Properties of rational arithmetic functionsLaohakosol V., Pabhapote N.2005International Journal of Mathematics and Mathematical Sciences
      2005(24),pp. 3997-4017
      5
      11Ramanujan sums via generalized Möbius functions and applicationsLaohakosol V., Ruengsinsub P., Pabhapote N.2006International Journal of Mathematics and Mathematical Sciences
      2006
      5
      12Stability of a generalized trigonometric functional equationTongsomporn J., Laohakosol V., Laohakosol V., Hengkrawit C., Udomkavanich P.2010Journal of Computational and Applied Mathematics
      234(5),pp. 1448-1457
      5
      13Two types of explicit continued fractionsRiyapan P., Laohakosol V., Chaichana T.2006Periodica Mathematica Hungarica
      52(2),pp. 51-72
      4
      14Observations about algebraic dependence of Dirichlet seriesRuengsinsub P., Laohakosol V., Udomkavanich P.2005Journal of the Korean Mathematical Society
      42(4),pp. 695-708
      3
      15Independence of continued fractions in the field of Laurent seriesChaichana T., Laohakosol V.2007Periodica Mathematica Hungarica
      55(1),pp. 35-59
      3
      16Power function solutions of iterative functional differential EquationsTalwong S., Laohakosol V., Cheng S.2004Applied Mathematics E - Notes
      4,pp. 160-163
      3
      17Bases for integer-valued polynomials in a Galois fieldLaohakosol V.1998Acta Arithmetica
      87(1),pp. 13-26
      3
      18Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functionsHengkrawit C., Laohakosol V., Udomkavanich P.2010Bulletin of the Malaysian Mathematical Sciences Society
      33(3),pp. 421-428
      3
      19The irrationality criteria of Brun and Badea are essentially equivalentLaohakosol V., Kuhapatanakul K.2008AIP Conference Proceedings
      976,pp. 144-159
      3
      20Iterates of increasing sequences of positive integersLaohakosol V., Yuttanan B.2014Aequationes Mathematicae
      87(1-2),pp. 89-103
      3
      21Functional equations characterizing the tangent function over a convex polygonHengkrawit C., Laohakosol V., Laohakosol V., Ponpetch K.2014Aequationes Mathematicae
      88(3),pp. 201-210
      3
      22Irrationality criteria for infinite products*Laohakosol V., Kuhapatanaku K.2011Frontiers of Combinatorics and Number Theory
      ,pp. 49-58
      3
      23Some algebraically independent continued fractionsLaohakosol V., Ubolsri P.1985Proceedings of the American Mathematical Society
      95(2),pp. 169-173
      3
      24Independence measures of arithmetic functions IIKomatsu T., Laohakosol V., Laohakosol V., Ruengsinsub P.2012Acta Arithmetica
      153(2),pp. 199-216
      3
      25The positivity problem for fourth order linear recurrence sequences is decidableTangsupphathawat P., Punnim N., Laohakosol V., Laohakosol V.2012Colloquium Mathematicum
      128(1),pp. 133-142
      3
      26Some logarithmic functional equationsLaohakosol V., Pimsert W., Hengkrawit C., Ebanks B.2012Archivum Mathematicum
      48(3),pp. 173-181
      2
      27A note on the stability of a generalized trigonometric functional equationHengkrawit C., Laohakosol V., Laohakosol V., Tongsomporn J.2010AIP Conference Proceedings
      1309,pp. 909-914
      2
      28Values taken by linear combinations of cosine functionsLaohakosol V., Tangsupphathawat P., Dangskul S.2010Applied Mathematics E - Notes
      10,pp. 184-190
      2
      29Expansions of real numbers in non-integer basesChunarom D., Laohakosol V.2010Journal of the Korean Mathematical Society
      47(4),pp. 861-877
      2
      30Distributive property of completely multiplicative functionsPabhapote N., Laohakosol V.2010Lithuanian Mathematical Journal
      50(3),pp. 312-322
      2
      31Liouville numbers in the non-archimedean caseChaichana T., Chaichana T., Komatsu T., Laohakosol V.2010Publicationes Mathematicae
      77(1-2),pp. 39-63
      2
      32Reciprocal sums of generalized second order recurrence sequencesLaohakosol V., Kuhapatanakul K.2008Fibonacci Quarterly
      46-47(4),pp. 316-325
      2
      33A modification of Fitzgerald's characterization of primitive polynomials over a finite fieldLaohakosol V., Pintoptang U.2008Finite Fields and their Applications
      14(1),pp. 85-91
      2
      34Lengths, periods and expansions of elements written with respect to a digit system over Fq [x]Laohakosol V., Pintoptang U.2008Finite Fields and their Applications
      14(1),pp. 142-158
      2
      35Functions with constant sums over a hyperplane and applicationsPonpetch K., Mavecha S., Laohakosol V.2019Publications de l'Institut Mathematique
      105(119),pp. 65-80
      2
      36Truncated euler-carlitz numbersKomatsu T., Laohakosol V., Tangsupphathawat P.2019Hokkaido Mathematical Journal
      48(3),pp. 569-588
      2
      37Applications of p-adic interpolation to exponential polynomials and sums of powersLaohakosol V., Laohakosol V.1981Journal of the Australian Mathematical Society
      30(4),pp. 419-437
      2
      38A system of functional equations satisfied by components of a quadratic function and its stabilityPonpetch K., Laohakosol V., Mavecha S.2019Bulletin of the Australian Mathematical Society
      100(2),pp. 304-316
      1
      39Unitary convolution and generalized möbius functionYangklan P., Ruengsinsub P., Laohakosol V.2017Current Applied Science and Technology
      17(1),pp. 1-12
      1
      40Arithmetic functions and their linear dependencePonpetch K., Laohakosol V., Mavecha S.2017AIP Conference Proceedings
      1905
      1
      41A characterization of rational numbers by p-adic Sylvester series expansionsLaohakosol V., Kanasri N.2007Acta Arithmetica
      130(4),pp. 389-402
      1
      42p-adic transformsLaohakosol V., Surakampontorn W.1984Electronics Letters
      20(18),pp. 726-727
      1
      43A characterization of rational elements by Lüroth-type series expansions in the p-adic number field and in the field of Laurent series over a finite fieldLaohakosol V., Rompurk N.2006Acta Arithmetica
      122(2),pp. 195-205
      1
      44Completely multiplicative functions arising from simple operationsLaohakosol V., Pabhapote N.2004International Journal of Mathematics and Mathematical Sciences
      2004(9),pp. 431-441
      1
      45Entire function solutions of a system of two recurrent step equationsLaohakosol V., Rungrottheera W.2007Journal of Mathematical Analysis and Applications
      335(1),pp. 280-297
      1
      46Combinatorial aspects of the generalized Euler's totientPabhapote N., Laohakosol V.2010International Journal of Mathematics and Mathematical Sciences
      2010
      1
      47A universal Cauchy functional equation over the positive realsLaohakosol V., Laohakosol V., Pimsert W.2011Journal of Mathematical Analysis and Applications
      375(2),pp. 777-789
      1
      48Symmetric continued fractionsPanprasitwech O., Laohakosol V., Chaichana T.2010AIP Conference Proceedings
      1309,pp. 745-750
      1
      49A factorization theorem for generalized exponential polynomials with infinitely many integer zerosPhuksuwan O., Laohakosol V., Laohakosol V.2011Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis
      27(2),pp. 211-221
      1
      50An arithmetic property of the taylor coefficients of analytic functions with an application to transcendental numbersLaohakosol V., Laohakosol V.1985Proceedings of the American Mathematical Society
      93(2),pp. 212-214
      1
      51Minimal polynomials of algebraic cosine values at rational multiples of πTangsupphathawat P., Laohakosol V.2016Journal of Integer Sequences
      19(2)
      1
      52Some quadratic irrationals with explicit continued fraction and Engel series expansionsKanasri N., Kanasri N., Laohakosol V., Changphas T., Changphas T.2015Studia Scientiarum Mathematicarum Hungarica
      52(3),pp. 316-336
      0
      53Dirichlet series solutions of generalized Riccati equationsLaohakosol V., Phuksuwan O., Prathom K.2015European Journal of Mathematics
      1(1),pp. 170-185
      0
      54A remark about the positivity problem of fourth order linear recurrence sequencesLaohakosol V., Tangsupphathawat P.2014Acta et Commentationes Universitatis Tartuensis de Mathematica
      18(1),pp. 3-8
      0
      55Stability of a generalized trigonometric-quadratic functional equationTongsomporn J., Laohakosol V.2013Journal of Function Spaces and Applications
      2013
      0
      56Coefficients of Differentially Algebraic SeriesLaohakosol V., Kongsakorn K., Ubolsri P.1990Journal of the Australian Mathematical Society
      48(3),pp. 402-412
      0
      57Characterizations of additive functionsLaohakosol V., Tangsupphathawat P.2016Lithuanian Mathematical Journal
      56(4),pp. 518-528
      0
      58Solutions of some particular pexiderized digital filtering functional equationHengkrawit C., Laohakosol V., Naenudorn K.2016Annales Mathematicae et Informaticae
      46,pp. 77-96
      0
      59Polynomials with only real zerosSrimud K., Tadee S., Laohakosol V.2016Malaysian Journal of Mathematical Sciences
      10,pp. 61-68
      0
      60Polynomials with generalized Fibonacci number coefficientsSitthaset A., Laohakosol V., Mavecha S.2017AIP Conference Proceedings
      1905
      0
      61Values of sequences of purely periodic functionsDangskul S., Laohakosol V., Laohakosol V., Tangsupphathawat P.2012Applied Mathematics E - Notes
      12,pp. 5-13
      0
      62Consequences of a Factorization Theorem for Generalized Exponential Polynomials with Infinitely Many Integer ZerosPhuksuwan O., Laohakosol V.2013Springer Proceedings in Mathematics and Statistics
      43,pp. 245-252
      0
      63Asymptotic expansions of iterates of some classical functionsMavecha S., Laohakosol V.2013Applied Mathematics E - Notes
      13,pp. 77-91
      0
      64On convergents of certain values of hyperbolic functions formed from diophantine equationsChaichana T., Komatsu T., Laohakosol V.2013Tokyo Journal of Mathematics
      36(1),pp. 147-161
      0
      65An analogue of an expansion of Oppenheim in a field of formal seriesRattanamoong J., Laohakosol V., Chaichana T.2010AIP Conference Proceedings
      1309,pp. 786-792
      0
      66Independence of Liouville seriesChaichana T., Laohakosol V., Komatsu T.2010AIP Conference Proceedings
      1309,pp. 200-205
      0
      67A universal cauchy functional equation over the positive reals IILaohakosol V., Pimsert W.2010AIP Conference Proceedings
      1309,pp. 623-628
      0
      68Solutions of a class of nonlinear recursive equations and applicationsHengkrawit C., Laohakosol V., Laohakosol V., Pimsert W.2011ScienceAsia
      37(2),pp. 136-144
      0
      69Some families of Diophantine quadruplesPrugsapitak S., Laohakosol V.2011ScienceAsia
      37(2),pp. 152-159
      0
      70Hyers-Ulam stability of a generalized trigonometric-quadratic functional equationHengkrawit C., Laohakosol V., Laohakosol V., Tongsomporn J.2011International Conference on Applied and Computational Mathematics
      ,pp. 127-132
      0
      71Entire function solutions of a system of two recurrent step equations with exponential polynomial coefficientsLaohakosol V., Rungrottheera W.2011Journal of Difference Equations and Applications
      17(11),pp. 1695-1710
      0
      72Linear dependence of two arithmetic functionsRuengsinsub P., Laohakosol V.2010AIP Conference Proceedings
      1309,pp. 799-804
      0
      73Quasi-permutation polynomialsLaohakosol V., Janphaisaeng S.2010Czechoslovak Mathematical Journal
      60(2),pp. 457-488
      0
      74Square-full primitive roots in arithmetic progressionsLaohakosol V., Srichan T., Tangsupphathawat P.2020Moscow Journal of Combinatorics and Number Theory
      9(2),pp. 187-202
      0
      75Square-full primitive roots in short intervalsTangsupphathawat P., Srichan T., Laohakosol V.2020Rad Hrvatske Akademije Znanosti i Umjetnosti, Matematicke Znanosti
      24(542),pp. 39-48
      0
      76A generalization of Liouville's theorem on integration in finite termsLeerawat U., Laohakosol V.2002Journal of the Korean Mathematical Society
      39(1),pp. 13-30
      0
      77Cauchy's functional equation in restricted complex domainsPimsert W., Laohakosol V., Pianskool S.2006International Journal of Mathematics and Mathematical Sciences
      2006
      0
      78Prime elements and irreducible polynomials over some imaginary quadratic fieldsSingthongla P., Kanasri N., Laohakosol V.2017Kyungpook Mathematical Journal
      57(4),pp. 581-600
      0
      79A combinatorial generalization of the gcd-sum function using a generalized Möbius functionLaohakosol V., Tangsupphathawat P.2017Annales Mathematicae et Informaticae
      47,pp. 141-148
      0
      80Iterative roots of some functionsMavecha S., Laohakosol V., Yuttanan B.2018Turkish Journal of Mathematics
      42(3),pp. 819-840
      0
      81Bounds on the lengths of certain series expansionsTongron Y., Kanasri N., Laohakosol V.2018Journal of Physics: Conference Series
      1132(1)
      0
      82Two Properties of Pseudo-Polynomials over a Galois FieldMeesa R., Laohakosol V., Chaichana T., Yuttanan B.2018Journal of Physics: Conference Series
      1132(1)
      0
      83A stability result about a functional equation of Drygas on an Abelian groupTongsomporn J., Laohakosol V.2018Journal of Physics: Conference Series
      1132(1)
      0
      84Solution of a general pexiderized permanental functional equationLaohakosol V., Suriyacharoen W.2019Proceedings of the Indian Academy of Sciences: Mathematical Sciences
      129(1)
      0
      85Minimal polynomials of algebraic cosine values, IITangsupphathawat P., Komatsu T., Laohakosol V.2018Journal of Integer Sequences
      21(9)
      0
      86Polynomial whose values at the integers are n-th power of integers in a quadratic fieldTongsomporn J., Laohakosol V.2017Current Applied Science and Technology
      17(1),pp. 13-21
      0
      87Independence of additive, multiplicative, exponential and logarithmic functionsPonpetch K., Laohakosol V., Mavecha S.2019Aequationes Mathematicae
      93(5),pp. 875-904
      0
      88Lower bound for p-adic exponential polynomials evaluated at some integer pointsLaohakosol V., Sripayap A.2018Current Applied Science and Technology
      18(2),pp. 66-74
      0
      89Sequences generated by polynomials over integral domainsKim V., Laohakosol V., Prugsapitak S.2019Walailak Journal of Science and Technology
      16(9),pp. 625-633
      0
      90The continued fractions of certain exponentialsDoemlim P., Laohakosol V., Tongsomporn J.2019Walailak Journal of Science and Technology
      16(9),pp. 615-624
      0
      91The generalized k-sequenceKuhapatanakul K., Laohakosol V.2019Journal of Discrete Mathematical Sciences and Cryptography
      22(6),pp. 943-952
      0
      92Functional equations characterizing the sine and cosine functions over a convex polygonPonpetch K., Laohakosol V., Mavecha S.2019Applied Mathematics E - Notes
      19,pp. 277-287
      0
      93Linear dependence of four types of arithmetic functionsPonpetch K., Laohakosol V., Mavecha S.2019Songklanakarin Journal of Science and Technology
      41(6),pp. 1328-1338
      0
      94A circulant functional equation for the additive function and its stabilityLaohakosol V., Pimsert W., Ponpetch K.2019Turkish Journal of Mathematics
      43(6),pp. 2821-2832
      0
      95The depth of continued fraction expansion for some classes of rational functionsTongron Y., Kanasri N.R., Laohakosol V.2020Asian-European Journal of Mathematics
      0
      96A class of continuous solutions of a fourth order polynomiallike iterative equationThangroongvongthana S., Laohakosol V., Mavecha S.2021Current Applied Science and Technology
      21(3),pp. 495-523
      0
      97Integer factorization and finite Fourier series expansionYangklan P., Laohakosol V., Mavecha S.2021Lithuanian Mathematical Journal
      0