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ศ.ดร.วิเชียร เลาหโกศล

ข้อมูลทั่วไป

  • ตำแหน่งทางวิชาการ ศาสตราจารย์ ดร.
  • รหัสบุคลากร D1021
  • ห้องทำงาน SC45-1207

ความเชี่ยวชาญ

  • Number Theory
  • Arithmetic Functions
  • Continued Fractions and p-adic Analysis
  • Functional Equations
  • Linear Recurrence Sequences
  • Polynomial and Algebraic Computation

การศึกษา

  • ปริญญาเอก — Ph.D. (Mathematics), University of Illinois at Urbana-Champaign, พ.ศ. 2526

ผลงานตีพิมพ์

132 ผลงานตีพิมพ์  ·  302 การอ้างอิง  ·  h-index 7
ข้อมูลจากฐานข้อมูล Scopus ปรับปรุงเมื่อ สิงหาคม 2569

2026

2025

2024

  • Vichian Laohakosol, Pussadee Yangklan
    Arithmetic Functions Associated with Exponentially Odd and Exponentially Even Integers
    Thai Journal of Mathematics 22(1), 217-225
  • Pratchayaporn Doemlim, Vichian Laohakosol, Tuangrat Chaichana
    Properties of the Graph Arising from Certain Map over a Finite Field
    Thai Journal of Mathematics 22(1), 251-262
  • Tuangrat Chaichana, Vichian Laohakosol, Rattiya Meesa
    Derivation of Some Identities and Applications
    Thai Journal of Mathematics 22(1), 263-269
    อ้างอิง 1 ครั้ง
  • Takao Komatsu, Vichian Laohakosol
    The p-Frobenius Problems for the Sequence of Generalized Repunits
    Results in Mathematics 79(1), บทความ 26
    อ้างอิง 1 ครั้ง · DOI: 10.1007/s00025-023-02055-6
  • Phiraphat Sutthimat, Vichian Laohakosol, Rattiya Meesa
    A unified approach to derive explicit solutions of generalized second-order linear recurrences and applications
    Discrete Mathematics 347(2), บทความ 113757
    อ้างอิง 5 ครั้ง · DOI: 10.1016/j.disc.2023.113757

2023

2022

2021

  • Suphareg Thangroongvongthana, Vichian Laohakosol, Sukrawan Mavecha
    A class of continuous solutions of a fourth order polynomiallike iterative equation
    Current Applied Science and Technology 21(3), 495-523
  • Jittinart Rattanamoong, Vichian Laohakosol
    Degree of independence of numbers
    Mathematica Slovaca 71(3), 615-626
    อ้างอิง 1 ครั้ง · DOI: 10.1515/ms-2021-0007
  • Pussadee Yangklan, Vichian Laohakosol, Sukrawan Mavecha
    Integer factorization and finite Fourier series expansion
    Lithuanian Mathematical Journal 61(2), 274-284
    อ้างอิง 1 ครั้ง · DOI: 10.1007/s10986-020-09506-5
  • Yanapat Tongron, Narakorn Rompurk Kanasri, Vichian Laohakosol
    The depth of continued fraction expansion for some classes of rational functions
    Asian European Journal of Mathematics 14(3), บทความ 2150033
    DOI: 10.1142/S1793557121500339
  • Teerapat Srichan, Watcharapon Pimsert, Vichian Laohakosol
    New recursion formulas for the partition function
    Journal of Integer Sequences 24(6), บทความ 21.6.6
    อ้างอิง 1 ครั้ง
  • Rattiya Meesa, Vichian Laohakosol, Tuangrat Chaichana
    Integer-valued polynomials satisfying the Lucas property
    Turkish Journal of Mathematics 45(3), 1459-1478
    อ้างอิง 2 ครั้ง · Open Access · DOI: 10.3906/mat-2102-104

2020

2019

  • Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
    Linear dependence of four types of arithmetic functions
    Songklanakarin Journal of Science and Technology 41(6), 1328-1338
  • Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
    Independence of additive, multiplicative, exponential and logarithmic functions
    Aequationes Mathematicae 93(5), 875-904
    DOI: 10.1007/s00010-019-00648-7
  • Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
    A system of functional equations satisfied by components of a quadratic function and its stability
    Bulletin of the Australian Mathematical Society 100(2), 304-316
    อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1017/S000497271900025X
  • Pratchayaporn Doemlim, Vichian Laohakosol, Janyarak Tongsomporn
    The continued fractions of certain exponentials
    Walailak Journal of Science and Technology 16(9), 615-624
  • Veasna Kim, Vichian Laohakosol, Supawadee Prugsapitak
    Sequences generated by polynomials over integral domains
    Walailak Journal of Science and Technology 16(9), 625-633
  • Kantaphon Kuhapatanakul, Vichian Laohakosol
    The generalized k-sequence
    Journal of Discrete Mathematical Sciences and Cryptography 22(6), 943-952
    อ้างอิง 1 ครั้ง · DOI: 10.1080/09720529.2019.1627071
  • Vichian Laohakosol, Wuttichai Suriyacharoen
    Solution of a general pexiderized permanental functional equation
    Proceedings of the Indian Academy of Sciences Mathematical Sciences 129(1), บทความ 6
    อ้างอิง 1 ครั้ง · DOI: 10.1007/s12044-018-0454-8
  • Takao Komatsu, Vichian Laohakosol, Jittinart Rattanamoong
    COMPLEX CANTOR SERIES, CANTOR PRODUCTS AND THEIR INDEPENDENCE
    Integers 19, บทความ A57
    อ้างอิง 1 ครั้ง
  • Takao Komatsu, Vichian Laohakosol, Pinthira Tangsupphathawat
    Truncated euler-carlitz numbers
    Hokkaido Mathematical Journal 48(3), 569-588
    อ้างอิง 2 ครั้ง · Open Access · DOI: 10.14492/hokmj/1573722018
  • Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
    Functional equations characterizing the sine and cosine functions over a convex polygon
    Applied Mathematics E Notes 19, 277-287
  • Kanet Ponpetch, Sukrawan Mavecha, Vichian Laohakosol
    Functions with constant sums over a hyperplane and applications
    Publications De L Institut Mathematique 105(119), 65-80
    อ้างอิง 2 ครั้ง · Open Access · DOI: 10.2298/PIM1919065P
  • Vichian Laohakosol, Watcharapon Pimsert, Kanet Ponpetch
    A circulant functional equation for the additive function and its stability
    Turkish Journal of Mathematics 43(6), 2821-2832
    Open Access · DOI: 10.3906/mat-1906-68

2018

2017

  • Kanet Ponpetch, Vichian Laohakosol, Sukrawan Mavecha
    Arithmetic functions and their linear dependence
    Aip Conference Proceedings 1905, บทความ 030027
    อ้างอิง 1 ครั้ง · DOI: 10.1063/1.5012173
  • Airada Sitthaset, Vichian Laohakosol, Sukrawan Mavecha
    Polynomials with generalized Fibonacci number coefficients
    Aip Conference Proceedings 1905, บทความ 030034
    DOI: 10.1063/1.5012180
  • Patiwat Singthongla, Narakorn Rompurk Kanasri, Vichian Laohakosol
    Prime elements and irreducible polynomials over some imaginary quadratic fields
    Kyungpook Mathematical Journal 57(4), 581-600
    อ้างอิง 4 ครั้ง · DOI: 10.5666/KMJ.2017.57.4.581
  • Janyarak Tongsomporn, Vichian Laohakosol
    Polynomial whose values at the integers are n-th power of integers in a quadratic field
    Current Applied Science and Technology 17(1), 13-21
  • Pussadee Yangklan, Pattira Ruengsinsub, Vichian Laohakosol
    Unitary convolution and generalized möbius function
    Current Applied Science and Technology 17(1), 1-12
    อ้างอิง 3 ครั้ง
  • Vichian Laohakosol, Pinthira Tangsupphathawat
    A combinatorial generalization of the gcd-sum function using a generalized Möbius function
    Annales Mathematicae Et Informaticae 47, 141-148

2016

  • Vichian Laohakosol, Pinthira Tangsupphathawat
    Characterizations of additive functions
    Lithuanian Mathematical Journal 56(4), 518-528
    อ้างอิง 2 ครั้ง · DOI: 10.1007/s10986-016-9333-0
  • Pinthira Tangsupphathawat, Vichian Laohakosol
    Minimal polynomials of algebraic cosine values at rational multiples of π
    Journal of Integer Sequences 19(2), บทความ 16.2.8
    อ้างอิง 3 ครั้ง
  • Charinthip Hengkrawit, Vichian Laohakosol, Khanithar Naenudorn
    Solutions of some particular pexiderized digital filtering functional equation
    Annales Mathematicae Et Informaticae 46, 77-96
  • Kulprapa Srimud, Suton Tadee, Vichian Laohakosol
    Polynomials with only real zeros
    Malaysian Journal of Mathematical Sciences 10, 61-68

2015

2014

2013

2012

  • Pinthira Tangsupphathawat, Narong Punnim, Vichian Laohakosol
    The positivity problem for fourth order linear recurrence sequences is decidable
    Colloquium Mathematicum 128(1), 133-142
    อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4064/cm128-1-11
  • Vichian Laohakosol, Watcharapon Pimsert, Charinthip Hengkrawit, Bruce Ebanks
    Some logarithmic functional equations
    Archivum Mathematicum 48(3), 173-181
    อ้างอิง 2 ครั้ง · Open Access · DOI: 10.5817/AM2012-3-173
  • Supreedee Dangskul, Vichian Laohakosol, Pinthira Tangsupphathawat
    Values of sequences of purely periodic functions
    Applied Mathematics E Notes 12, 5-13
  • Takao Komatsu, Vichian Laohakosol, Pattira Ruengsinsub
    Independence measures of arithmetic functions II
    Acta Arithmetica 153(2), 199-216
    อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4064/aa153-2-5

2011

  • Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn
    Hyers-Ulam stability of a generalized trigonometric-quadratic functional equation
    International Conference on Applied and Computational Mathematics 127-132
  • Ouamporn Phuksuwan, Vichian Laohakosol
    A factorization theorem for generalized exponential polynomials with infinitely many integer zeros
    Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis 27(2), 211-221
    อ้างอิง 1 ครั้ง
  • Vichian Laohakosol, Kantaphon Kuhapatanakul
    Irrationality criteria for infinite products*
    Frontiers of Combinatorics and Number Theory 49-58
    อ้างอิง 2 ครั้ง
  • Vichian Laohakosol, W. Rungrottheera
    Entire function solutions of a system of two recurrent step equations with exponential polynomial coefficients
    Journal of Difference Equations and Applications 17(11), 1695-1710
    DOI: 10.1080/10236191003781939
  • Vichian Laohakosol, Watcharapon Pimsert
    A universal Cauchy functional equation over the positive reals
    Journal of Mathematical Analysis and Applications 375(2), 777-789
    อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1016/j.jmaa.2010.09.063
  • Takao Komatsu, Vichian Laohakosol, Pattira Ruengsinsub
    Independence measures of arithmetic functions
    Journal of Number Theory 131(1), 1-17
    อ้างอิง 7 ครั้ง · Open Access · DOI: 10.1016/j.jnt.2010.06.011
  • Charinthip Hengkrawit, Vichian Laohakosol, Watcharapon Pimsert
    Solutions of a class of nonlinear recursive equations and applications
    Scienceasia 37(2), 136-144
    Open Access · DOI: 10.2306/scienceasia1513-1874.2011.37.136
  • Supawadee Prugsapitak, Vichian Laohakosol
    Some families of Diophantine quadruples
    Scienceasia 37(2), 152-159
    Open Access · DOI: 10.2306/scienceasia1513-1874.2011.37.152

2010

  • Oranit Panprasitwech, Vichian Laohakosol, Tuangrat Chaichana
    Symmetric continued fractions
    Aip Conference Proceedings 1309, 745-750
    อ้างอิง 1 ครั้ง · DOI: 10.1063/1.3525200
  • Pattira Ruengsinsub, Vichian Laohakosol
    Linear dependence of two arithmetic functions
    Aip Conference Proceedings 1309, 799-804
    DOI: 10.1063/1.3525208
  • Jittinart Rattanamoong, Vichian Laohakosol, Tuangrat Chaichana
    An analogue of an expansion of Oppenheim in a field of formal series
    Aip Conference Proceedings 1309, 786-792
    DOI: 10.1063/1.3525206
  • Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn
    A note on the stability of a generalized trigonometric functional equation
    Aip Conference Proceedings 1309, 909-914
    อ้างอิง 2 ครั้ง · DOI: 10.1063/1.3525223
  • Vichian Laohakosol, Watcharapon Pimsert
    A universal cauchy functional equation over the positive reals II
    Aip Conference Proceedings 1309, 623-628
    DOI: 10.1063/1.3525185
  • Tuangrat Chaichana, Vichian Laohakosol, Takao Komatsu
    Independence of Liouville series
    Aip Conference Proceedings 1309, 200-205
    อ้างอิง 1 ครั้ง · DOI: 10.1063/1.3525115
  • Vichian Laohakosol, Pinthira Tangsupphathawat, Supreedee Dangskul
    Values taken by linear combinations of cosine functions
    Applied Mathematics E Notes 10, 184-190
    อ้างอิง 2 ครั้ง
  • Danita Chunarom, Vichian Laohakosol
    Expansions of real numbers in non-integer bases
    Journal of the Korean Mathematical Society 47(4), 861-877
    อ้างอิง 2 ครั้ง · Open Access · DOI: 10.4134/JKMS.2010.47.4.861
  • Charinthip Hengkrawit, Vichian Laohakosol, Patanee Udomkavanich
    Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functions
    Bulletin of the Malaysian Mathematical Sciences Society 33(3), 421-428
    อ้างอิง 3 ครั้ง
  • Nittiya Pabhapote, Vichian Laohakosol
    Combinatorial aspects of the generalized Euler’s totient
    International Journal of Mathematics and Mathematical Sciences 2010, บทความ 648165
    อ้างอิง 2 ครั้ง · Open Access · DOI: 10.1155/2010/648165
  • Nittiya Pabhapote, Vichian Laohakosol
    Distributive property of completely multiplicative functions
    Lithuanian Mathematical Journal 50(3), 312-322
    อ้างอิง 3 ครั้ง · DOI: 10.1007/s10986-010-9088-y
  • Janyarak Tongsomporn, Vichian Laohakosol, Charinthip Hengkrawit, Patanee Udomkavanich
    Stability of a generalized trigonometric functional equation
    Journal of Computational and Applied Mathematics 234(5), 1448-1457
    อ้างอิง 5 ครั้ง · Open Access · DOI: 10.1016/j.cam.2010.02.021
  • Vichian Laohakosol, Suphawan Janphaisaeng
    Quasi-permutation polynomials
    Czechoslovak Mathematical Journal 60(2), 457-488
    DOI: 10.1007/s10587-010-0028-0
  • Takao Komatsu, Vichian Laohakosol
    On the sum of reciprocals of numbers satisfying a recurrence relation of order s
    Journal of Integer Sequences 13(5), 1-9
    อ้างอิง 22 ครั้ง
  • Tuangrat Chaichana, Takao Komatsu, Vichian Laohakosol
    Liouville numbers in the non-archimedean case
    Publicationes Mathematicae Debrecen 77(1-2), 39-63
    อ้างอิง 5 ครั้ง · Open Access · DOI: 10.5486/pmd.2010.4557

2009

2008

2007

2006

2005

  • Vichian Laohakosol, Nittiya Pabhapote
    Properties of rational arithmetic functions
    International Journal of Mathematics and Mathematical Sciences 2005(24), 3997-4017
    อ้างอิง 7 ครั้ง · Open Access · DOI: 10.1155/IJMMS.2005.3997
  • Pattira Ruengsinsub, Vichian Laohakosol, Patanee Udomkavanich
    Observations about algebraic dependence of Dirichlet series
    Journal of the Korean Mathematical Society 42(4), 695-708
    อ้างอิง 3 ครั้ง · Open Access · DOI: 10.4134/JKMS.2005.42.4.695

2004

  • Vichian Laohakosol, Nittiya Pabhapote
    Completely multiplicative functions arising from simple operations
    International Journal of Mathematics and Mathematical Sciences 2004(9), 431-441
    อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1155/S0161171204304163
  • Vichian Laohakosol, Nittiya Pabhapote
    On Generalized Rearick Logarithm
    Scienceasia 30(3), 289-292
    Open Access · DOI: 10.2306/scienceasia1513-1874.2004.30.289
  • Sukrawan Talwong, Vichian Laohakosol, Sui Sun Cheng
    Power function solutions of iterative functional differential Equations
    Applied Mathematics E Notes 4, 160-163
    อ้างอิง 3 ครั้ง

2003

2002

2001

  • Vichian Laohakosol, Nittiya Pabhapote, Nalinee Wechwiriyakul
    Arithmetic Functions and Operators
    Scienceasia 27(3), 199-202
    อ้างอิง 3 ครั้ง · Open Access · DOI: 10.2306/scienceasia1513-1874.2001.27.199

2000

1998

1997

1992

1990

  • Vichian Laohakosol, Kannika Kongsakorn, Patchara Ubolsri
    Coefficients of Differentially Algebraic Series
    Journal of the Australian Mathematical Society 48(3), 402-412
    อ้างอิง 1 ครั้ง · Open Access · DOI: 10.1017/S1446788700029955

1987

  • Vichian Laohakosol, Patchara Ubolsri
    P-adic continued fractions of liouville type
    Proceedings of the American Mathematical Society 101(3), 403-410
    อ้างอิง 15 ครั้ง · DOI: 10.1090/S0002-9939-1987-0908638-3

1985

1984

  • Vichian Laohakosol, Wanlop Surakampontorn
    p-adic transforms
    Electronics Letters 20(18), 726-727
    อ้างอิง 1 ครั้ง · DOI: 10.1049/el:19840497

1981