Decomposition formulas associated with the multivariable confluent hypergeometric functions

2018/07/31 by Tuhtasin Ergashev, Ergashev, Tuhtasin
Mathematics · #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1808.00891

openalex publication_date 2018/07/31 · openalex created_date 2018/08/22 · openalex updated_date 2026/07/28

Abstract

The main object of this work is to show how some rather elementary techniques based upon certain inverse pairs of symbolic operators would lead us easily to several decomposition formulas associated with confluent hypergeometric functions of two and more variables. Many operator identities involving these pairs of symbolic operators are first constructed for this purpose. By means of these operator identities several decomposition formulas are found, which express the aforementioned hypergeometric functions in terms of such simpler functions as the products of the Gauss hypergeometric functions.

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