The Plethystic Exponentials Created in Certain Domains of the Complex Plane and Related Implications

Hüseyin Irmak; Praveen Agarwal; Shilpi Jain

doi:10.58715/bangmodjmcs.2025.11.3

The Plethystic Exponentials Created in Certain Domains of the Complex Plane and Related Implications

Hüseyin Irmak
, Praveen Agarwal
, Shilpi Jain

Nonlinear Dynamic Research Centre (NDRC)

Nisantasi Universitesi
Saveetha Institute of Medical and Technical Sciences (Deemed to be University)
International College of Engineering
International Telematic University Uninettuno
Poornima College of Engineering

Research output: Contribution to journal › Article › peer-review

Abstract

The primary aim of this scientific investigation is to introduce basic information about plethystic exponential forms, which play significant roles in both mathematics and related fields. It then aims to reorganize these concepts within specific regions of the complex plane, focus on new complex ideas, and present various propositions, along with their implications and potential applications, for consideration by relevant researchers.

Original language	English
Pages (from-to)	51-62
Number of pages	12
Journal	Bangmod International Journal of Mathematical and Computational Science
Volume	11
DOIs	https://doi.org/10.58715/bangmodjmcs.2025.11.3
State	Published - 1 Jan 2025

Keywords

The plethystic exponentials
analytic functions
complex powers
complex series
regions in the complex plane
special functions
transformations

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10.58715/bangmodjmcs.2025.11.3

Cite this

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KW - analytic functions

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The Plethystic Exponentials Created in Certain Domains of the Complex Plane and Related Implications

Abstract

Keywords

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