Extensions of the Kummer evaluation of a finite hypergeometric series
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摘要
Kummer's evaluation of a finite hypergeometric series F(a,b;c;-1)(c=b-a+1,b=-2m) is extended in two directions to answer questions related to the positivity of Jost functions arising from one-dimensional Schrödinger equations with exponentially decaying potentials.
论文关键词：Special functions,Spectral theory,Jost function
论文评审过程：Received 20 January 2004, Revised 2 April 2004, Available online 15 March 2006.
论文官网地址：https://doi.org/10.1016/j.cam.2005.06.018
