SOME SUMMATION FORMULAS FOR THE HYPERGEOMETRIC SERIES r+2Fr+1( 1 2 )

Y. S. Kim; A. K. Rathie; U. P; - -; R. B. Paris

Article Details

SOME SUMMATION FORMULAS FOR THE HYPERGEOMETRIC SERIES r+2Fr+1( 1 2 )

Authors:

Y. S. Kim | A. K. Rathie | U. P | - - | R. B. Paris

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2013 Vol.42 Issue 3, pp.281-287

Document Type:

Article

Publication Date:

2/2013

Document Language:

English

Document ID (Org No.):

2000453480

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X

Abstract:

 

The aim of this paper is to obtain explicit expressions of the generalizedhypergeometric functionr+2 F r+1 a, b, (a + b + j + 1),(f r + m r ) (f r ) ; for j = 0, ±1, . . . , ±5, where r pairs of numeratorial and denominatorialparameters differ by positive integers mr . The results are derived withthe help of an expansion in terms of a finite sum ofF ( ) functions anda generalization of Gauss’ second summation theorem due to Lavoie etal. [J. Comput. Appl. Math. 72, 293–300 (1996)]. Some special andlimiting cases are also given.

Article Details

SOME SUMMATION FORMULAS FOR THE HYPERGEOMETRIC SERIES r+2Fr+1( 1 2 )

Authors: Y. S. Kim | A. K. Rathie | U. P | - - | R. B. Paris

Publisher: Hacettepe University

Main Topics: Analysis

Journal: Hacettepe Journal of Mathematics and Statistics 2013 Vol.42 Issue 3, pp.281-287

Document Type: Article

Publication Date: 2/2013

Document Language: English

Document ID (Org No.): 2000453480

Frequency: Bimonthly

eISSN: 2651-477X

pISSN: 2651-477X

Issues

Authors:

Y. S. Kim | A. K. Rathie | U. P | - - | R. B. Paris

Publisher:

Hacettepe University

Main Topics:

Analysis

Journal:

Hacettepe Journal of Mathematics and Statistics 2013 Vol.42 Issue 3, pp.281-287

Document Type:

Article

Publication Date:

2/2013

Document Language:

English

Document ID (Org No.):

2000453480

Frequency:

Bimonthly

eISSN:

2651-477X

pISSN:

2651-477X