Study of Incomplete Elliptic Integrals Pertaining to pΨq Function-Reference-Cited by-同舟云学术

Study of Incomplete Elliptic Integrals Pertaining to pΨq Function

Published:2018-12-01 Issue:2 Volume:14 Page:11-18
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Shanker Dubey Ravi¹,Sharma Anil²,Jain Monika³

Affiliation:

1. Department of Mathematics, Amity University of Rajasthan, Jaipur , India

2. Department of Engineering, Amity University Dubai, Dubai , United Arab Emirates United Arab Emirates

3. Department of Mathematics, JECRC University, Jaipur, Rajasthan , India

Abstract

Abstract Elliptic-type integral plays a major role in the study of different problems of physics and technology including fracture mechanics. Many papers have been written for various families of elliptic-type integrals. Due to their applications here, we are presenting an organized study of certain generalized family of incomplete elliptic integral. The obtained results are basic in nature have various generalizations. While using the fractional integral operator of Riemann-Liouville type, we found several obvious hyper geometric representations. Which are further used to originate many definite integrals relating to their modules and amplitude of elliptic type generalized incomplete integrals.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2018-0009

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