Topological Methods in Nonlinear Analysis

First order linear differential equations with involutive delay and hypergeometric functions

Stefan Czekalski and Henryk Żołądek

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We present an alternative approach to functions satisfying second order linear ordinary differential equations. It turns out that many of them satisfy a first order ordinary differential equation with an involution. The involution acts on the argument as well as on parameters. Basic examples involve the hypergeometric functions and their descendants.

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Topol. Methods Nonlinear Anal., Volume 52, Number 1 (2018), 11-29.

First available in Project Euclid: 10 March 2017

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Czekalski, Stefan; Żołądek, Henryk. First order linear differential equations with involutive delay and hypergeometric functions. Topol. Methods Nonlinear Anal. 52 (2018), no. 1, 11--29. doi:10.12775/TMNA.2017.002.

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