A Kummer-type transformation for a 2F2 hypergeometric function

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摘要

We obtain a Kummer-type transformation for the 2F2(x) hypergeometric function with general parameters in the form of a sum of 2F2(-x) functions. This result is specialised to the case where one pair of parameters differs by unity to generalize a recent result of Miller (J. Comput. Appl. Math. 157 (2003) 507).

论文关键词：Generalized hypergeometric function,Kummer-type transformation

论文评审过程：Received 27 November 2003, Revised 11 March 2004, Available online 28 July 2004.

论文官网地址：https://doi.org/10.1016/j.cam.2004.05.005