Further investigations on the two variables second Appell hypergeometric matrix function. Issue 3 (4th March 2023)

• Record Type: Journal Article
• Authors: Abdalla, Mohamed; Abd-Elmageed, Hala; Abul-Ez, Mahmoud; Zayed, Mohra
• Is Part Of: Quaestiones mathematicae. Volume 46:Issue 3(2023)
• Page Start: 519
• Page End: 536
• Publication Date: 2023-03-04
• Subjects: 15A15 -- 34A05 -- 33D15 -- 33C05; Appell hypergeometric matrix functions -- generating matrix functions -- recursion formulae -- differentiation formulas; Mathematics -- Periodicals; 510.5
• DOI: 10.2989/16073606.2022.2034680
• Languages: English
• ISSNs: 1607-3606

Abstract

Abstract: Over the last two decades, special matrix functions have become a major area of study for mathematicians and physicists. The famous four Appell hypergeometric matrix functions have received considerable attention by many authors from different points of view. The present paper is devoted to provide further investigations on the two variables second Appell hypergeometric matrix functions. Precisely, we derive certain mathematical properties such as limit formulae of Humbert hypergeometric matrix functions, recursion formulae using contiguous matrix relations, some differentiation and summation formulae. We also find general differential operators which induce some differential equations. This enriches the theory of special matrix functions. The obtained results are believed to be newly presented.