Evaluation of a summation formula based on half argument and allied with Recurrence relation

Evaluation of a summation formula based on half argument and allied with Recurrence relation

Salahuddin

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Evaluation of a summation formula based on half argument and allied with Recurrence relation

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Abstract

The aim of this paper is to evaluate a summation formula based on half argument allied with Hypergeometric function and involving recurrence relation.

References

11 Cites in Article

Reference Format

Milton Abramowitz,Irene Stegun (1970). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables.
L Andrews (1992). Special Function of mathematics for Engineers, Second Edition.
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 Lavoie (1987). Some summation formulae for the series 3F2.
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.
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 formulae using Hypergeometric function.
Salahuddin,M Chaudhary (2010). certain summation formulae associated to Gauss second summation theorem.

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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. 2012. \u201cEvaluation of a summation formula based on half argument and allied with Recurrence relation\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F7): .

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GJSFR Volume 12 Issue F7
Pg. 1- 27

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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 Re - currence relation

Submission ReceivedApril 14, 2012
Peer Review Double Blind
Handling Editor
Accepted May 9, 2012
Published May 22, 2012

Version of record

v1.2

Issue date

July 2, 2012

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Article Matrices

Total Score: 106

Country: India

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

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

View Count (all-time): 139

Total Views (Real + Logic): 5441

Total Downloads (simulated): 2878

Publish Date: 2012 07, Mon

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Total Views: 5441

Total Downloads: 2878

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The aim of this paper is to evaluate a summation formula based on half argument allied with Hypergeometric function and involving recurrence relation.

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