Application of hypergeometric functions to the construction of particular solutions

Abstract

In this article, by the similarity method, self-similar solutions of higher-order equations with constant and variable coefficients are constructed. Self-similar solutions are expressed in terms of generalized hypergeometric functions. The examples show how the fundamental solutions of known equations can be expressed through the particular solutions we have constructed.

Topics

Identifiers

DOI

10.1080/17476933.2023.2270910

Citations and references