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arXiv · 2311.13083

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

Fritz Gesztesy·Markus Hunziker
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Abstract

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.

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Fritz Gesztesy, Markus Hunziker. 2023-11-22. Meijer's $G$-function and Euler's differential equation revisited. https://arxiv.org/abs/2311.13083

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