Some Summation Theorems Involving Bailey Theorem

Some Summation Theorems Involving Bailey Theorem

dr._m._p._chaudhary

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Dr. Salahuddin

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M.P. Chaudhary

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Ashish Arora

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1 Amercian Mathematical Society, USA

3 Netaji Subhas University of Technology

GJSFR Volume 12 Issue F9

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Authors obtain five new summations theorems involving Gamma functions, Bailey theorem and recurrence relation of Gamma functions, which are not available in the literature of special functions.

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References

Asish Arora,Singh,Salahuddin Rahul (2008). Development of a family of summation formulae of half argument using Gauss and Bailey theorems.
J Choi,H Harsh,A Rathie (2001). Some summation formulae for the Apple's function F 1 , East Asian Math.
A Erdélyi,W Magnus,F Okerhettinger,F Tricomi (1953). Higher transcendental functions.
E Krupnikov,K Kölbig (1997). Some special cases of the generalized hypergeometric function q+1Fq.
J Lavoie,J Miller (1987). Notes on a paper by J. B. Miller.
J Lavoie (1987). Some summation formulae for the series 3 F 2.
J Lavoie,F Grondin,A Rathie (1992). Generalizations of Watson's theorem on the sum of a 3 F 2.
J Lavoie,F Grondin,A Rathie (1996). Generalizations of Whipple's theorem on the sum of a 3F2.
J Lavoie,F Grondin,A Rathie,K Arora Generalizations of Dixon's theorem on the sum of a 3 F 2.
C Mitra (1943). Notes.
A Prudnikov,Yu. Brychkov,O Marichev (1986). Special Functions.

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No external funding was declared for this work.

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The authors declare no conflict of interest.

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dr._m._p._chaudhary. 2012. \u201cSome Summation Theorems Involving Bailey Theorem\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F9): .

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GJSFR Volume 12 Issue F9
Pg. 71- 79

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Bailey theorem Gaussian Hypergeometric function

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Submission ReceivedJune 15, 2012
RevisedJune 15, 2012
Peer Review Double Blind
Handling Editor
Accepted July 12, 2012
Published July 22, 2012

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v1.2

Issue date

August 7, 2012

Language

English

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Total Score: 108

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Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. Salahuddin, M.P. Chaudhary, Ashish Arora (PhD/Dr. count: 1)

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Total Downloads: 2695

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Authors obtain five new summations theorems involving Gamma functions, Bailey theorem and recurrence relation of Gamma functions, which are not available in the literature of special functions.

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