First order linear differential equations with involutive delay and hypergeometric functions
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.
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.
Keywords
Differential equation with an involution; hypergeometric equation; Chebyshev equation
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