The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
권호 표지

CERTAIN IDENTITIES ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC SERIES AND BINOMIAL COEFFICIENTS

  • Lee, Keum-Sik (Department of Mathematics, College of Natural Science, Pusan National University) ;
  • Cho, Young-Joon (Department of Mathematics, College of Natural Science, Pusan National University) ;
  • Choi, June-Sang (Department of Mathematics, College of natural Science, Dongguk University)
  • Published : 2001.11.01
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Abstract

The main object of this paper is to present a transformation formula for a finite series involving $_3F_2$ and some identities associated with the binomial coefficients by making use of the theory of Legendre polynomials $P_{n}$(x) and some summation theorems for hypergeometric functions $_pF_q$. Some integral formulas are also considered.

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