ON THE SEMI-DIFFERENTIALS OF SOME COMPLETE ELLIPTIC INTEGRALS AND THEIR DIFFERENCES
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
*Corresponding author: firstname.lastname@example.org
(Received : October 08, 2021; In format : November 04, 2021: Revised in final form : February 24,2022)
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.