Applications of the (q,τ)-Gamma function in fractional calculus and special functions
Year: 2025
Type: article
Abstract: The ( q , τ ) -Gamma function provides a two-parameter extension of the classical and q -deformed Gamma functions, enabling enhanced modeling of memory and scaling effects in fractional calculus and special functions. This paper presents the definition, key properties, and computational aspects of the ( q , τ ) -Gamma function Applications in generalized fractional derivatives, integral transforms, and ( q , τ ) -special polynomials are described, with selected examples and discussion of future directions.
Source: Examples and Counterexamples
Authors: Shaher Momani, Rabha W. Ibrahim
Institutions: University of Jordan, Ajman University, Al-Ayen Iraqi University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $420
OpenAlex ID: W7117115161