Extensions of the Kummer evaluation of a finite hypergeometric series

Authors:
B. M. Brown;M. S. P. Eastham
Affiliations:
School of Computer Science, University of Cardiff, Cardiff, UK;School of Computer Science, University of Cardiff, Cardiff, UK
Venue:
Journal of Computational and Applied Mathematics - Special issue on 60th birthday of Prof. Brian Davies
Year:
2006

Citing 1
Cited 1

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Journal of Computational and Applied Mathematics - Special issue: On the occasion of the eightieth birthday of prof. W.M. Everitt

A note on the Dixon formula for a finite hypergeometric series

Journal of Computational and Applied Mathematics - Special issue on 60th birthday of Prof. Brian Davies

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Abstract

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.