Applications of an operator H(α,β) to the Lauricella multivariable hypergeometric functions

2008/10/15 by A. Hasanov, Anvar Hasanov, Hasanov, A. · 1 citation
Mathematics · Physics and Astronomy · #33C65 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #math-ph #math.CA #math.MP #msc:33C65

paper · pdf · doi:10.48550/arxiv.0810.2632

12 pages

arxiv created 2008/10/15 · openalex publication_date 2008/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By making use of some techniques based upon certain inverse new pairs of symbolic operators, the author investigate several decomposition formulas associated with Lauricella's hypergeometric functions F_A^(r), F_B^(r), F_C^(r) and F_D^(r) in r variables. In the three-variable case some of these operational representations are constructed and applied in order to derive the corresponding decomposition formulas when r = 3 . With the help of these new inverse pairs of symbolic operators, a total 20 decomposition formulas and integral representations are found.

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