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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Abstract

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.

Article information

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

Dates
First available in Project Euclid: 10 March 2017

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1489114816

Digital Object Identifier
doi:10.12775/TMNA.2017.002

Mathematical Reviews number (MathSciNet)
MR3867977

Citation

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. https://projecteuclid.org/euclid.tmna/1489114816


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