Introduction
Abstract
En
In this paper, some basic properties (recurrence relations,asymptotic expansion, series representation and others) are derived for the new function , which covers certain well-known special functions for particular choices of the parameteres . For example, for and , one obtains respectively and ,where(Error rendering LaTeX formula) is the complementary incomplete Gamma function and is a function of Debye type.The function has been introduce by us in order to find a class of exact solutions for nonlinear wave equations of the Klein-Gordon type , where and a, b are constants.
In this paper, some basic properties (recurrence relations,asymptotic expansion, series representation and others) are derived for the new function , which covers certain well-known special functions for particular choices of the parameteres . For example, for and , one obtains respectively and ,where(Error rendering LaTeX formula) is the complementary incomplete Gamma function and is a function of Debye type.The function has been introduce by us in order to find a class of exact solutions for nonlinear wave equations of the Klein-Gordon type , where and a, b are constants.
DOI Code:
Full Text: PDF