Discrete Matrix Hypergeometric Functions
We generalize the scalar discrete hypergeometric series to allow for matrix parameters. We show their connection to classical matrix hypergeometric series, derive conditions for convergence on the boundary disk, show criteria for divergence, derive integral representations, and establish some difference equations they solve. We also highlight the special case of discrete matrix Bessel functions, whose scalar analogue has proved useful in applications.
T. Cuchta et al., "Discrete Matrix Hypergeometric Functions," Journal of Mathematical Analysis and Applications, vol. 518, no. 2, article no. 126716, Elsevier, Feb 2023.
The definitive version is available at https://doi.org/10.1016/j.jmaa.2022.126716
Mathematics and Statistics
Keywords and Phrases
Convergence; Difference Equation; Divergence; Hypergeometric Series; Matrix Analysis; Matrix Special Functions
International Standard Serial Number (ISSN)
Article - Journal
© 2023 Elsevier, All rights reserved.
15 Feb 2023