Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions

Analytic study and statistical enforcement of extended beta functions imposed by Mittag-Leffler and Hurwitz-Lerch Zeta functions

Special Function Theory is used in many mathematical fields to model scientific progress, from theoretical to practical. This helps efficiently analyze the newly expanded Beta class of functions on a complicated domain. We use Mittag-Leffler and Hurwitz Lerch zeta (HLZ) kernels to produce the Beta f...

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Bibliographic Details
Main Authors: Faten F. Abdulnabi, Hiba F. Al-Janaby, Firas Ghanim
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:MethodsX
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This paper presents notable progress in Special Function Theory and its applications, broadening the use of Beta functions in both pure and practical mathematics, including fractional calculus and statistical distribution modeling
Online Access:http://www.sciencedirect.com/science/article/pii/S2215016125000548
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