A note on inequalities for the ratio of zero-balanced hypergeometric functions

Richards, Kendall

doi:10.1090/bproc/41

A note on inequalities for the ratio of zero-balanced hypergeometric functions
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by Kendall C. Richards HTML | PDF

Proc. Amer. Math. Soc. Ser. B 6 (2019), 15-20

Abstract:

Motivated by a question suggested by M. E. H. Ismail in 2017, we present sharp inequalities for the ratio of zero-balanced Gaussian hypergeometric functions. The main theorems generalize known results for complete elliptic integrals of the first kind.

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