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A New Summation Formula Allied With Hypergeometric Function

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Salahuddin

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Dr. SALAHUDDIN

A New Summation Formula Allied With Hypergeometric Function

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Abstract

The main objective of the present paper is to derive a summation formula of half argument associated to Bailey theorem .The result presented here is presumably new.

References

13 Cites in Article

Reference Format

Asish Arora,Singh,Salahuddin Rahul (2008). Development of a family of summation formulae of half argument using Gauss and Bailey theorems.
A Erd´elyi,W Magnus,F Okerhettinger,F Tricomi (1953). Higher transcendental functions.
E Krupnikov,K K¨olbig (1997). Some special cases of the generalizedhypergeometric function Journal of computational and AppliedMath.
J Lavoie,J Miller (1987). Notes on a paper by J. B. Miller.
J Lavoie (1987). Some summation formulae for the series Math.
J Lavoie,F Grondin,A Rathie (1992). Generalizations of Watson's theorem on the sum of a Indian.
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 3F2.
C Mitra (1943). Notes.
A Prudnikov,Yu. Brychkov,O Marichev (1986). Special Functions.
Earl Rainville (1945). The contiguous function relations for _{𝑝}𝐹_{𝑞} with application to Batemean’s 𝐽_{𝑛}^{𝑢,𝜈} and Rice’s 𝐻_{𝑛}(𝜁,𝑝,𝜈).
Salahuddin,M Chaudhary (2010). Development of Some Summation FormulaeUsing Hypergeometric Function.
(3 F ). Unknown Title.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Salahuddin. 1970. \u201cA New Summation Formula Allied With Hypergeometric Function\u201d. Unknown Journal GJSFR Volume 11 (GJSFR Volume 11 Issue 6): .

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GJSFR Volume 11 Issue 6
Pg. 21- 37

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Journal Specifications

Keywords

Bailey summation theorem and Legendre duplication formula Contiguous function Gaussian Hypergeometric function Re - currence relation

Submission ReceivedJuly 16, 2011
Peer Review Double Blind
Handling Editor
Accepted August 10, 2011
Published August 23, 2011

Version of record

v1.2

Issue date

September 7, 2011

Language

en

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Article Matrices

Total Score: 106

Country: India

Subject: Uncategorized

Authors: Dr. SALAHUDDIN (PhD/Dr. count: 1)

View Count (all-time): 76

Total Views (Real + Logic): 20355

Total Downloads (simulated): 10948

Publish Date: 1970 01, Thu

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Total Views: 20355

Total Downloads: 10948

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Published Article

The main objective of the present paper is to derive a summation formula of half argument associated to Bailey theorem .The result presented here is presumably new.

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