Open AccessStudy of Incomplete Elliptic Integrals Pertaining to pΨq Function
Author(s) -
Ravi Shanker Dubey,
A. Sharma,
Monika Jain
Publication year - 2018
Publication title -
journal of applied mathematics, statistics and informatics
Language(s) - English
Resource type - Journals
eISSN - 1339-0015
pISSN - 1336-9180
DOI - 10.2478/jamsi-2018-0009
Subject(s) - elliptic integral , jacobi elliptic functions , type (biology) , elliptic function , mathematics , operator (biology) , quarter period , pure mathematics , elliptic rational functions , function (biology) , mathematical analysis , elliptic curve , ecology , biochemistry , chemistry , repressor , gene , transcription factor , biology , evolutionary biology
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.