On some properties of \(\beta\)-Laplace integral transform

Volume 23, Issue 4, pp 315--320 http://dx.doi.org/10.22436/jmcs.023.04.04

Publication Date: November 23, 2020 Submission Date: September 17, 2020 Revision Date: October 16, 2020 Accteptance Date: October 22, 2020

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Authors

Garima Agarwal - Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan, India. Amit Gaur - Department of Mathematics and Statistics, Manipal University Jaipur, Rajasthan, India. Kottakkaran Sooppy Nisar - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia. Abdallah Hassan Abusufian - Department of Mathematics, College of Arts and Sciences, Wadi Aldawaser, Prince Sattam bin Abdulaziz University, Saudi Arabia.

Abstract

This paper aims to discuss and resolve some shortcomings of the classical Laplace integral transform of a particular class of functions such as poles (if exist) lie on fixed points, fixed s-domain, and analyticity region for any function of that particular class of functions. We mainly try to solve these shortcomings by employing a new generalized Laplace transform named the \(\beta\)-Laplace integral transform.

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Keywords

• Laplace integral transform
• \(\beta\)-Laplace integral transform
• s-domain
• analytic function

MSC

•  44A10
•  44A15

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