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Convolution Theorem for (p,q)-Gamma Integral Transforms and Their Application to Some Special Functions
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Convolution Theorem for (p,q)-Gamma Integral Transforms and Their Application to Some Special Functions
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Journal Article
Convolution Theorem for (p,q)-Gamma Integral Transforms and Their Application to Some Special Functions
2024
Overview
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.
Publisher
MDPI AG
