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Patanee Udomkavanich

Professor

Contact

Office:

MATH 1208/13

Phone:

02-218-5151

Email:

Pattanee.U@chula.ac.th

Visit Personal's Website

Research Area

  • Algebra, Discrete Mathematics, & Mathematical Logic

Education

  • 1975 B.Sc. (Mathematics) Chulalongkorn University, Thailand
  • 1977 M.Sc. (Mathematics) Chulalongkorn University, Thailand
  • 1984 Ph.D. (Mathematics) The Pennsylvania State University, USA

Publications

Publications: 

  1. S. Jitman and P. Udomkavanich, One-generator Quasi-abelian codes revisted, Journal of Algebra Combinatorics Discrete Structures and Applications, 4(1)(2017), 49-60.

  2. P. Choosuwan, S. Jitman and P. Udomkavanich,  Self-Dual Abelian Codes in Some Nonprincipal Ideal Group Algebras, Mathematical Problems in Engineering, 2016:9020173(2016).
  3. T. Sukhonwimolmal,  P.  Nakmahachalasint, and P. Udomkavanich, Stability of Fréchet's functional equation on certain groupoid, ScienceAsia, 42(4)(2016), 296-301.
  4. E. Sangwisut,  S. Jitman, S. Ling, and P. Udomkavanich, Hulls of cyclic and negacyclic codes over finite fields, Finite Fields and Their Applications, 33(2015), 232-257.
  5. J. Tipyan,  C. Srisawat,  P. Udomkavanich, and P. Nakmahachalasint, The generalized stability of an n-dimensional jensen type functional equation, Thai Journal of Mathematics, 12(2)(2014), 265-274.
  6. P. Udomkavanich and P. Jitjankarn, A classification of regressive transformation semigroups on chains, Semigroup Forum, 85(2012), 559-570.
  7. T. Eungrasamee, P. Udomkavanich, and P. Nakmahachalasint, Generalized stability of classical polynomial functional equation of order n, Advances in Difference Equations, 2012:135(2012), 1-11.
  8. T. Sukhonwimolmal, P. Udomkavanich, and P. Nakmahachalasint, Functional equation analogous to the 2-dimensional wave equation, Chamchuri Journal of Mathematics, 4(2012), 1-11.
  9. S. Jitman, S.  Ling, and P. Udomkavanich,  Skew constacyclic codes over finite chain rings,  Advances in Mathematics of Communications, 6(1)(2012),  39-63.
  10. S. Pianskool, P. Udomkavanich and P. Youngkhong, On lower semi-continuity of interval-valued multihomomorphisms, Bulletin of the Malaysian Mathematical Sciences Society, (2) 35(1) (2012), 79-84.
  11. C. Hengkrawit, V. Laohakosol and P. Udomkavanich, Rational recursive equations characterizing cotangent-tangent and hyperbolic cotangent-tangent functions,  Bulletin of the Malaysian Mathematical Sciences Society, (2) 33(3)(2010),421-428.
  12. S. Jitman and P. Udomkavanich, Skew circulant matrices over finite fields and skew circulant based additive codes, Advances and Applications in Mathematical Sciences, 4(1)(2010), 23-32.
  13. S. Jitman and P. Udomkavanich, On the structure of constacyclic codes of length ps over Fpk+uFpk+···+um-1Fpk, International Journal of Algebra, 4(11)(2010), 507-516.
  14. S. Jitman and P. Udomkavanich,  On the generator polynomials of constacyclic codes over finite chain rings, International Journal of Pure and Applied Mathematics, 59(2)(2010), 213-224.
  15. S. Jitman and P. Udomkavanich, The Gray image of codes over finite chain rings, International Journal of Contemporary Mathematical Sciences, 5(10)(2010),  449-458.
  16. P. Udomkavanich and S. Jitman, Bounds and modifications on linear error-block codes, International Mathematical Forum,   5(1)(2010), 35-50.
  17. T. Eungrasamee, P. Udomkavanich and P. Nakmahachalasint, On generalized stability of an n-dimensional quadratic functional equation, Thai Journal of Mathematics, Special Issue (Annual Meeting in Mathematics, 2009-2010)(2010), 43-50.
  18. J. Tongsomporn, V. Laohakosol, C. Hengkrawit and P.  Udomkavanich, Stability of a generalized trigonometric functional equation,Journal of Computational and Applied Mathematics, 234(5)(2010), 1448-1457.
  19.  P. Udomkavanich and S. Jitman, On the Gray image of (1-um)-cyclic codes over Fpk+uFpk+···+um-1Fpk, International Journal of Contemporary  Mathematical Sciences,  4(26)(2009), 1265-1272
  20.  W. Pimsert, V. Laohakosol and P. Udomkavanich, Independence among various versions of the Cauchy’s functional equation,Chamchuri Journal of  Mathematics, 1(1)(2009),  45-50. 
  21.  C. Hengkrawit, V. Laohakosol, P. Udomkavanich and J. Tongsomporn, Some hyperbolic sine-cosine type functional equations, East - West Journal of Mathematics,  10(2)(2008), 127-132.
  22.  V. Loahakosol, P. Udomkavanich  and  C. Hengkrawit, Some functional equations characterizing trigonometric and hyperbolic tangent and allied functions,  East-West Journal of Mathematics, Special Volume (ICDMA 2008)(2008), 235-242.
  23.  W. Pimsert, V. Laohakosol, and P. Udomkavanich, Dependence relations among solutions of a universal Cauchy’s functional equation, East-West Journal of Mathematics, Special Volume (ICDMA 2008)(2008),  99 – 108.
  24. พัฒนี  อุดมกะวานิช  ณัฏฐนาถ  ไตรภพ  และ วัชรศักดิ์  ศิริเสรีวรรณ, ปัญหาการสลายกลุ่มและจัดกลุ่มใหม่, วารสารคณิตศาสตร์, 49(2548), 34-40.
  25. พัฒนี  อุดมกะวานิช, สมการเชิงฟังก์ชันในรูป f(n) = n + c, วารสารคณิตศาสตร์ , 50(2548), 21-23.
  26.  Ng. Danpattanamongkon, P. Udomkavanich and Y. Kemprasit, Some transformation semigroups admitting nearing structure, Thai Journal of Mathematics, Special Issue (Annul Meeting in Mathematics,2007), (2007), 1 - 9.
  27.  Ng. Danpattanamongkon, P. Udomkavanich and Y. Kemprasit, Transformation semigroups admitting nearing structure, Thai Journal of Mathematics, Special Issue (Annul Meeting in Mathematics,2006), (2006), 31 - 37.
  28.  P. Udomkavanich and P. Jitjankarn,  Isomorphism Theorems of regressive partial transformation semigroups, Italian Journal of Pure and Applied Mathematics, (18)(2005), 207 - 212.
  29.  P. Udomkavanich and P. Jitjankarn, Some Isomorphism Theorems on regressive transformation semigroups,  The Southeast Asian Bulletin of Mathematics, 29(2005), 581 - 591.
  30.  P. Jitjankarn and P. Udomkavanich, On eventually regular regressive transformation semigroups, Thai Journal of Mathematics, Special Issue (2005), 15 - 21.
  31.  P. Ruengsinsub, V. Laohakosol, and P. Udomkavanich, Observations about algebraic dependence of Dirichlet series, Journal of Korean Mathematics Society, 42(4)(2005), 695 - 708.
  32.  P. Jitjankarn and P. Udomkavanich , Regularity of some regressive transformation semigroup, East-West Journal of Mathematics, Special Volume(2004), 111 - 118.
  33.  O. Phuksuwan, P. Udomkavanich and V. Laohakosol, An analysis of Ritt’s factorization for exponential sums, East-West Journal of Mathematics, Special Volume(2004), 61-72.
  34.  P. Ruangsinsap, V. Laohakosol and P. Udomkavanich,  Arithmetic functions over rings with zero divisors, Bullectin of the Malaysian Mathematical Sciences Society, 24(1)(2001), 81 - 91.
  35.  K. Jantarakhajorn and P. Udomkavanich, Subgroups of syntactic monoids of finite inverse biprefic codes, Proceedings of the Annual Meetings in Mathematic 2001, (2001), 90 - 98.

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