Convolution Theorem for (p,q)-Gamma Integral Transforms and Their Application to Some Special Functions
| dc.contributor.author | Al-Omari, Shrideh | |
| dc.contributor.author | Salameh, Wael | |
| dc.contributor.author | Zureigat, Hamzeh | |
| dc.date.accessioned | 2025-09-15T05:46:19Z | |
| dc.date.available | 2025-09-15T05:46:19Z | |
| dc.date.issued | 2024-09 | |
| dc.description | Quantum calculus, also referred to as q-calculus, is a branch of calculus that focuses on derivatives without limits [1]. It attracts a lot of academics as it provides a crucial connection between mathematics and physics. In the literature, there are many scientific disciplines that have demonstrated abroad a variety of applications of quantum calculus in the theory of numbers, orthogonal polynomials, combinatorics, relativity theory, and mechanics [2–5], while a number of advancements involving polynomials and q-hypergeometric functions, often employed in number theory and partitioning, began to find practical uses in a range of different scientific areas [6–16]. | |
| dc.description.abstract | This article introduces (𝑝,𝑞)-analogs of the gamma integral operator and discusses their expansion to power functions, (𝑝,𝑞)-exponential functions, and (𝑝,𝑞)-trigonometric functions. Additionally, it validates other findings concerning (𝑝,𝑞)-analogs of the gamma integrals to unit step functions as well as first- and second-order (𝑝,𝑞)-differential operators. In addition, it presents a pair of (𝑝,𝑞)-convolution products for the specified (𝑝,𝑞)-analogs and establishes two (𝑝,𝑞)-convolution theorems. Keywords: Q-Derivative; (P,Q)-Convolution, Theorem; (P,Q)-Trigonometric Functions, (P,Q)-Exponential Functions, (P,Q)-Differential Operators | |
| dc.identifier.citation | Al-Omari, S., Salameh, W., & Zureigat, H. (2024). Convolution Theorem for (p, q)-Gamma Integral Transforms and Their Application to Some Special Functions. Symmetry, 16(7), 882. | |
| dc.identifier.doi | https://doi.org/10.3390/sym16070882 | |
| dc.identifier.uri | https://repository.adu.ac.ae/handle/1/7453 | |
| dc.language.iso | en | |
| dc.publisher | MDPI | |
| dc.title | Convolution Theorem for (p,q)-Gamma Integral Transforms and Their Application to Some Special Functions | |
| dc.type | Article |