On the q-analogue of Laplace transform
Won Sang Chung, Taekyun Kim
TL;DR
This paper introduces a q-analogue of the Laplace transform, exploring its properties and deriving new formulas to extend the classical transform's applications in mathematical analysis.
Contribution
It presents a novel q-analogue of the Laplace transform and investigates its properties, providing new formulas and extending the theoretical framework.
Findings
Derived new formulas related to q-Laplace transform
Established properties of the q-analogue transform
Extended classical Laplace transform theory
Abstract
In this paper, we consider a q-analogue of Laplace transform and we investigate some properties of q-Laplace transform. From our investigation, we derive some interesting formulae related to q-Laplace transform.
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