Divergence Criteria for Matrix Generalized Hypergeometric Series

Author

Tom Cuchta
David E. Grow, Missouri University of Science and TechnologyFollow
Nick Wintz

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.

Recommended Citation

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

Department(s)

Mathematics and Statistics

Publication Status

Early View

Keywords and Phrases

Divergence; Lower Bound; Matrix Hypergeometric; Special Functions

International Standard Serial Number (ISSN)

1088-6826; 0002-9939

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2022 American Mathematical Society (AMS), All rights reserved.

Publication Date

01 Jan 2022