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

H¨useyin 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

Authors

H¨useyin Irmak İstanbul Nişantaşı University, Department of Computer Engineering, TR-34481742, Sarıyer, Istanbul, Turkey
Praveen Agarwal Department of Mathematics, Anand International College of Engineering, Jaipur 302012, India
Shilpi Jain Department of Mathematics, Poornima College of Engineering, Jaipur 302022, India

DOI:

https://doi.org/10.58715/bangmodjmcs.2025.11.3

Keywords:

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

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.

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Published

2025-03-19

How to Cite

Irmak, H., Agarwal, P., & Jain, S. (2025). The Plethystic Exponentials Created in Certain Domains of the Complex Plane and Related Implications. Bangmod International Journal of Mathematical and Computational Science, 11, 51–62. https://doi.org/10.58715/bangmodjmcs.2025.11.3