@article{Zayed2024, 
author = {Mohra Zayed and Shahid Ahmad Wani and Georgia Irina Oros and William Ramírez},
title = {Unraveling multivariable Hermite-Apostol-type Frobenius-Genocchi polynomials via fractional operators},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {7},
pages = {17291-17304},
keywords = {operational connection, fractional operators, Eulers' integral, multivariable special polynomials, explicit form, applications},
url = {https://www.sciopen.com/article/10.3934/math.2024840},
doi = {10.3934/math.2024840},
abstract = {This study explores the evolution and application of integral transformations, initially rooted in mathematical physics but now widely employed across diverse mathematical disciplines. Integral transformations offer a comprehensive framework comprising recurrence relations, generating expressions, operational formalism, and special functions, enabling the construction and analysis of specialized polynomials. Specifically, the research investigates a novel extended family of Frobenius-Genocchi polynomials of the Hermite-Apostol-type, incorporating multivariable variables defined through fractional operators. It introduces an operational rule for this generalized family, establishes a generating connection, and derives recurring relations. Moreover, the study highlights the practical applications of this generalized family, demonstrating its potential to provide solutions for specific scenarios.}
}