DIVERGENCE CRITERIA FOR MATRIX GENERALIZED HYPERGEOMETRIC SERIES

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY（2022）

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摘要

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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关键词

Special functions, matrix hypergeometric, lower bound, divergence

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