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Certain reduction and transformation formulas for the Kamp\'{e} de F\'{e}riet function

Arjun K. Rathie|Medhat A. Rakha
대한수학회 (The Korean Mathematical Society)|2022.04|대한수학회논문집 (Communications of the KMS)|제37권 제2호|pp. 473-496|DOI 10.4134/CKMS.c210090

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키워드

reductionGeneralized hypergeometric functionKamp\'{e} de F\'{e}riet functionsummation and transformation ormulas
주제분류수학

초록

In 2014, Liu and Wang established a large number of interesting reduction, transformation and summation formulas for the Kamp\'{e} de F\'{e}riet function. Inspired by the work, we aim to find further several transformation and reduction formulas for the Kamp\'{e} de F\'{e}riet function. Theses formulas are mainly based on the formulas given by Liu and Wang \cite{33}.

Abstract

In 2014, Liu and Wang established a large number of interesting reduction, transformation and summation formulas for the Kamp\'{e} de F\'{e}riet function. Inspired by the work, we aim to find further several transformation and reduction formulas for the Kamp\'{e} de F\'{e}riet function. Theses formulas are mainly based on the formulas given by Liu and Wang \cite{33}.

참고문헌 (50)

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