On the contiguous relations of hypergeometric series

Authors:
Medhat A. Rakha;Adel K. Ibrahim
Affiliations:
Department of Mathematics and Statistics, College of Science, Sultan Qaboos University, Alkhod, Muscat, Oman and Department of Mathematics, College of Science, Suez Canal University, Ismailia, Egy ...;Department of Mathematics, College of Science, Suez Canal University, Ismailia, Egypt
Venue:
Journal of Computational and Applied Mathematics
Year:
2006

Citing 2
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Abstract

Contiguous relations are a fundamental concept within the theory of hypergeometric series and orthogonal polynomials. Their study goes back to Gauss who gave a list of 15 "fundamental" relations for the 2F1 hypergeometric series. In this paper we will prove some consequences of contiguous relations of 2F1.