ON A REDUCTION FORMULA FOR THE KAMPÉ de FÉRIET FUNCTION

Authors : Yong Sup Kİ, Tibor K POGÁNY, Arjun K RATHİE

Pages : 65-68

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Publication Date : 2014-01-01

Article Type : Other Papers

Abstract :The aim of this short research note is to provide a reduction formulafor the Kamp´e de F´eriet function Fh:2;0 g:2;0 [−x, x] by employing a newsummation formula for Clausen’s seriesF [1] obtained recently by theauthors [Miskolc Math. Notes 10insert ignore into journalissuearticles values(2);, 145–153, 2009.]
Keywords : Clausens seriesF, Eulers transformation forF, Kamp´e de F´erietfunction, Kummertype I transformation forF, summation formula