Development of a Summation Formula in Connection with Hypergeometric and Gamma Function - Global Journals Publishing Group

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function

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Salahuddin

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Dr. Salahuddin

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R. K. Khola

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S. R. Yadav

Development of a Summation Formula in Connection with Hypergeometric and Gamma Function

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Abstract

The aim of this paper is to derive a summation formula based on half argument in connection with Hypergeometric function and involving recurrence relation and Gauss summation theorem.

References

6 Cites in Article

Reference Format

L Andrews (1992). Special Function of mathematics for Engineers.
Asish Arora,Singh,Salahuddin Rahul (2008). Development of a family of summation formulae of half argument using Gauss and Bailey theorems.
Richard Beals,Roderick Wong (2010). Special Functions.
J-L Lavoie,F Grondin,A Rathie,K Arora (1992). Generalizations of Dixon’s theorem on the sum of a ₃𝐹₂.
J Lavoie,F Grondin,A Rathie (1996). Generalizations of Whipple's theorem on the sum of a 3F2.
A Prudnikov,Yu Brychkov,O Marichev (1986). More Special Functions.

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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. 2013. \u201cDevelopment of a Summation Formula in Connection with Hypergeometric and Gamma Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F2): .

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GJSFR Volume 13 Issue F2
Pg. 25- 53

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Contiguous relation Gauss second summation theorem Recurrence relation

Submission ReceivedJanuary 21, 2013
Peer Review Double Blind
Handling Editor
Accepted February 16, 2013
Published February 26, 2013

Version of record

v1.2

Issue date

April 10, 2013

Language

en

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Article Matrices

Total Score: 108

Country: India

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

Authors: Dr. Salahuddin, R. K. Khola, S. R. Yadav (PhD/Dr. count: 1)

View Count (all-time): 152

Total Views (Real + Logic): 5234

Total Downloads (simulated): 2668

Publish Date: 2013 04, Wed

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Total Views: 5234

Total Downloads: 2668

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The aim of this paper is to derive a summation formula based on half argument in connection with Hypergeometric function and involving recurrence relation and Gauss summation theorem.

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