The complex error functions and various extensive results together with implications pertaining to certain special functions

Authors: HÜSEYİN IRMAK, PRAVEEN AGARWAL, RAVI P. AGARWAL

Abstract: The error functions play very important roles in science and technology. In this investigation, the error functions in the complex plane will be introduced, then comprehensive results together with several nonlinear implications in relation to the related complex functions will be indicated, and some possible special results of them will be next presented. Furthermore, various interesting or important suggestions will be also made for the scientific researchers who are interested in this topic.

Keywords: Open unit disc, the complex error functions, equations and inequalities in the complex plane, complex series, special functions with complex variable, Hermite polynomials

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