Notes on certain complex-type special functions in which the Gaussian function and its integral play essential roles
DOI:
https://doi.org/10.24193/subbmath.2026.2.03Keywords:
Real-analytic functions, the Gaussian function and integral, the Fad deeva function, the (complex) error functions, series expansions, complex-type differential equationsAbstract
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.
Mathematics Subject Classification (2010): 26E05, 41A58, 30D10, 30D20, 26D15, 33E20.
Received 27 December 2025; Accepted 17 March 2026.
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