Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Certain Integral Representations, Transformation Formulas and Summation Formulas Related to Humbert Matrix Functions

Certain Integral Representations, Transformation Formulas and Summation Formulas Related to... The main objective of this work is to present some important results and formulas in the theory of Humbert matrix functions by using the concepts of matrix functional calculus. We define Humbert matrix functions assuming that not all the matrices involved are commuting. We show that these two variable Humbert matrix functions follow naturally as confluent cases of Appell matrix functions. We determine their regions of convergence, integral representations, transformation formulas, summation formulas, contiguous relations and matrix differential equations satisfied by them. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Certain Integral Representations, Transformation Formulas and Summation Formulas Related to Humbert Matrix Functions

Loading next page...
 
/lp/springer-journals/certain-integral-representations-transformation-formulas-and-summation-SSXgV9t4FR

References (30)

Publisher
Springer Journals
Copyright
Copyright © Sociedade Brasileira de Matemática 2020
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-020-00198-6
Publisher site
See Article on Publisher Site

Abstract

The main objective of this work is to present some important results and formulas in the theory of Humbert matrix functions by using the concepts of matrix functional calculus. We define Humbert matrix functions assuming that not all the matrices involved are commuting. We show that these two variable Humbert matrix functions follow naturally as confluent cases of Appell matrix functions. We determine their regions of convergence, integral representations, transformation formulas, summation formulas, contiguous relations and matrix differential equations satisfied by them.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Feb 4, 2020

There are no references for this article.