Title of article :
ON A REDUCTION FORMULA FOR THE KAMPÉ de FÉRIET FUNCTION
Author/Authors :
Kim, Yong Sup Wonkwang University - Department of Mathematics Education, Korea , Pogany, Tibor K. University of Rijeka - Faculty of Maritime Studies, Croatia , Rathie, Arjun K. Central University of Kerala, Riverside Transit Campus - School of Mathematical and Physical Sciences - Department of Mathematics, India
Abstract :
The aim of this short research note is to provide a reduction formula for the Kampé de Fériet function F^h:2;0 g:2;0 [-x; x] by employing a new summation formula for Clausen s series 3F2[1] obtained recently by the authors [Miskolc Math. Notes 10(2), 145-153, 2009.]
Keywords :
Clausen s series 3F2 , Euler s transformation for 2F2 , Kampé de Fériet function , Kummer , type I transformation for 2F2 , summation formula
Journal title :
Hacettepe Journal Of Mathematics and Statistics
Journal title :
Hacettepe Journal Of Mathematics and Statistics