On the contiguous relations of hypergeometric series

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摘要

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 F12 hypergeometric series. In this paper we will prove some consequences of contiguous relations of F12.

论文关键词：Hypergeometric function,Contiguous relations

论文评审过程：Received 31 January 2005, Revised 28 May 2005, Available online 20 July 2005.

论文官网地址：https://doi.org/10.1016/j.cam.2005.05.016