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TWO RESULTS FOR THE TERMINATING 3F2(2) WITH APPLICATIONS

Arjun K. Rathie|최준상|김용섭
대한수학회 (The Korean Mathematical Society)|2012.05|대한수학회보 (Bulletin of the KMS)|제49권 제3호|pp. 621-633

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참고문헌

키워드

generalized hypergeometric seriesKummer's first and second theoremsGauss's summation theoremGauss's second theoremquadratic transformationKummer type I and II transformationsKampe de Feriet function.
주제분류수학

초록

By establishing a new summation formula for the series $_3F_2(\frac{1}{2})$, recently Rathie and Pogany have obtained an interesting result known as Kummer type II transformation for the generalized hypergeometric function $_2F_2$. Here we aim at deriving their result by using a very elementary method and presenting two elegant results for certain terminating series $_3F_2(2)$. Furthermore two interesting applications of our new results are demonstrated.

Abstract

By establishing a new summation formula for the series $_3F_2(\frac{1}{2})$, recently Rathie and Pogany have obtained an interesting result known as Kummer type II transformation for the generalized hypergeometric function $_2F_2$. Here we aim at deriving their result by using a very elementary method and presenting two elegant results for certain terminating series $_3F_2(2)$. Furthermore two interesting applications of our new results are demonstrated.

참고문헌 (33)

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