Notes on certain complex-type special functions in which the Gaussian function and its integral play essential roles

Hüseyin Irmak

doi:10.24193/subbmath.2026.2.03

Authors

Hüseyin Irmak Department of Computer Engineering, Faculty of Engineering & Architecture, Ni¸santa¸sı University, ˙Istanbul, Turkey https://orcid.org/0000-0003-1897-6725

DOI:

https://doi.org/10.24193/subbmath.2026.2.03

Keywords:

Complex integral, complex exponentials, complex series expansions, Analytic functions

Abstract

The primary aim of this scientific note is first to review the essential background on several special functions in which the Gaussian function, in certain complex domains, and its integral play fundamental roles, and subsequently to establish (or organize) a number of relevant results together with some of their potential implications.

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