ON A REDUCTION FORMULA FOR THE KAMPÉ de FÉRIET FUNCTION

Year 2014, Volume: 43 Issue: 1, 65 - 68, 01.01.2014

Yong Sup Ki Tibor K. Pogány Arjun K. Rathie

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 10(2), 145–153, 2009.]

Keywords

Clausen’s seriesF , Euler’s transformation forF , Kamp´e de F´erietfunction, Kummer–type I transformation forF , summation formula.

ON A REDUCTION FORMULA FOR THE KAMPÉ de FÉRIET FUNCTION

Abstract

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Keywords

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References

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