• 제목/요약/키워드: Gauss's and Saalschutz'z summation theorems

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CERTAIN IDENTITIES ASSOCIATED WITH GENERALIZED HYPERGEOMETRIC SERIES AND BINOMIAL COEFFICIENTS

  • Lee, Keum-Sik;Cho, Young-Joon;Choi, June-Sang
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제8권2호
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    • pp.127-135
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    • 2001
  • 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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