Discrete matrix hypergeometric functions

被引：10

作者：

Cuchta, Tom ^{[1
]}

Grow, David ^{[2
]}

Wintz, Nick ^{[3
]}

机构：

[1] Fairmont State Univ, Dept Comp Sci & Math, 1201 Locust Ave, Fairmont, WV 26554 USA

[2] Missouri Univ Sci & Technol, BDepartment Math & Stat, 400 West 12th St, Rolla, MO 65409 USA

[3] Lindenwood Univ, Dept Math Comp Sci & Informat Technol, 209 S Kingshighway, St Charles, MO 63301 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 518卷 / 02期

关键词：

Hypergeometric series; Matrix special functions; Difference equation; Convergence; Divergence; Matrix analysis; GAMMA;

D O I：

10.1016/j.jmaa.2022.126716

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (c) 2022 Elsevier Inc. All rights reserved.

引用

页数：14

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