ON THE SEMI-DIFFERENTIALS OF SOME COMPLETE ELLIPTIC INTEGRALS AND THEIR DIFFERENCES


By

M. I. Qureshi, Javid Majid* and Jahan Ara

Department of Applied Sciences and Humanities, Faculty of Engineering and Technology

Jamia Millia Islamia (A Central University), New Delhi-110025, India

Email:miqureshi_delhi@yahoo.co.in; jahanara.jrf15@gmail.com

*Corresponding author: javidmajid375@gmail.com

(Received : October 08, 2021; In format : November 04, 2021: Revised in final form : February 24,2022)


Abstract

In this article we aim at obtaining the semi-differentials of Complete Elliptic integrals of different kinds and their differences in terms of algebraic functions by using series manipulation technique and Pfaff-Kummer linear ¨ transformation.


2010 Mathematics Subject Classification: 33C05, 33C20, 33C75, 44-XX, 26A33.

Keywords and Phrases: Hypergeometric functions; Complete Elliptic integrals; Pfaff-Kummer linear transformation.



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