First order linear differential equations with involutive delay and hypergeometric functions
KeywordsDifferential equation with an involution, hypergeometric equation, Chebyshev equation
AbstractWe 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.
How to Cite
CZEKALSKI, Stefan & ŻOŁĄDEK, Henryk. First order linear differential equations with involutive delay and hypergeometric functions. Topological Methods in Nonlinear Analysis [online]. 8 February 2017, T. 52, nr 1, s. 11–29. [accessed 23.3.2023].
Number of views and downloads: 0
Number of citations: 0