Divergence criteria for matrix generalized hypergeometric series

Cuchta, Tom; Grow, David; Wintz, Nick

doi:10.1090/proc/15773

Divergence criteria for matrix generalized hypergeometric series
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by Tom Cuchta, David Grow and Nick Wintz

Proc. Amer. Math. Soc. 150 (2022), 1235-1240

DOI: https://doi.org/10.1090/proc/15773

Published electronically: November 30, 2021

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Abstract:

We provide proofs of sharp divergence criteria for a large class of matrix hypergeometric series by estimating lower norm bounds of their terms. Difficulties in extending our techniques to singular matrix parameters are illustrated.

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