Meijer's $G$-function and Euler's differential equation revisited

Autor:	Gesztesy, Fritz, Hunziker, Markus
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs Primary: 34A05 34B30 34A30 34M03 Secondary: 34A30 34E05 34L10
Druh dokumentu:	Working Paper
Popis:	We consider the generalized eigenvalue problem for the classical Euler differential equation and demonstrate its intimate connection with Meijer's $G$-functions. In the course of deriving the solution of the generalized Euler eigenvalue equation we review some of the basics of generalized hypergeometric functions and Meijer's $G$-functions and some of its special cases where the underlying Mellin-type integrand exhibits higher-order poles. Comment: 21 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2311.13083 Zobrazit plný text záznamu View this record from Arxiv