Izvorni znanstveni članak
On an extension of a quadratic transformation formula due to Kummer
Medhat A. Rakha
; athematics Department, Faculty of Science, Suez Canal University, Ismailia 41 522, Egypt
Navratna Rathie
; Department of Mathematics, Rajasthan Technical University, Kota-324 010, Rajasthan,India
Purnima Chopra
; Department of Mathematics, Marudhar Engineering College Raisar, NH-11, Jaipur Road,Bikaner-334 001, Rajasthan, India
Sažetak
The aim of this research note is to prove the following new transformation formula
valid for
then
we get quadratic transformations due to Kummer. The result is derived with the help of the
generalized Gauss's summation theorem available in the literature.
Ključne riječi
quadratic transformation formula; Kummer transformation; Gauss summation theorem
Hrčak ID:
43997
URI
Datum izdavanja:
9.12.2009.
Posjeta: 1.562 *