Divergence Criteria for Matrix Generalized Hypergeometric Series
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.
T. Cuchta et al., "Divergence Criteria for Matrix Generalized Hypergeometric Series," Proceedings of the American Mathematical Society, vol. 150, no. 3, pp. 1235 - 1240, American Mathematical Society (AMS), Jan 2022.
The definitive version is available at https://doi.org/10.1090/proc/15773
Mathematics and Statistics
Keywords and Phrases
Divergence; Lower Bound; Matrix Hypergeometric; Special Functions
International Standard Serial Number (ISSN)
Article - Journal
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01 Jan 2022