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ศ.ดร. พัฒนี อุดมกะวานิช

Patanee Udomkavanich
Faculty (อาจารย์)
Office: MATH 1408/16
Phone: 02-218-5218
Fax: 02-255-2287
Email: Pattanee.U@chula.ac.th

การศึกษา 

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

สาขางานวิจัย 

  • Algebra
  • Transformation Semigroups
  • Syntactic Monoids of Prefix Codes
  • Arithmetric Functions
  • Functional Equations
  • Error Correcting Codes.

ผลงานตีพิมพ์ 

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.

Publications in SCOPUS: 

หนังสือ 

  1. Abstract Algebra (in Thai), 1987.
  2. Principles of Mathematics (in Thai), 1998.
  3. Real Analysis (in Thai), 2003.
  4. Theory of Numbers (in Thai), 2003.
  5. Functional Equations (in Thai), 2004.

อื่นๆ 

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ที่อยู่ : ภาควิชาคณิตศาสตร์และวิทยาการคอมพิวเตอร์ คณะวิทยาศาสตร์
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