EQUATIONS
E-ISSN: 2944-9146 An Open Access International Journal of Mathematical and Computational Methods in Science and Engineering
Volume 3, 2023
Comprehensive Results for the Error Functions in the Complex Plane and Some of Their Consequences
Authors: ,
Abstract: In this extensive special note, various necessary information directly relating to the well-known error functions considered in certain domains of the complex plane, which are both in the family of classical special functions and important tools for nearly all sciences and technology, will be firstly introduced, and a number of our main results (consisting of various analytic-geometric properties of those error functions) will be also stated (and then proven) by an auxiliary theorem produced in recent studies. In addition, some special consequences of those main results, which are also associated with certain different types of special functions, be will pointed out to relevant researchers.
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Keywords: Domains in the complex plane, the (complex) error functions, special functions, power series, series expansions, analytic functions
Pages: 50-58
DOI: 10.37394/232021.2023.3.7