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International Journal of Mathematical Research

April 2015, Volume 4, 2, pp 53-63

Contiguous Function Relations and an Integral Representation for Appell k-Series F_(1,k)

Shahid Mubeen

,

Sana Iqbal

,

Gauhar Rahman

Shahid Mubeen 1 ,

Sana Iqbal 1 Gauhar Rahman 1 
  1. Department of Mathematics, University of Sargodha, Sargodha, Pakistan 1

Pages: 53-63

DOI: 10.18488/journal.24/2015.4.2/24.2.53.63

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Abstract:

The main objective of this paper is to derive contiguous function relations or recurrence relations and obtain an integral representation Appell k-series F_(1,k), where k>0.
Contribution/ Originality
This study originates a new formula for Appell’s series in the form of a new symbol k>0 and contributes for deriving contiguous function relations, obtaining an integral representation of the Appell’s series in terms of said symbol   k>0.

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Reference:

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