A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation

Upendra Pandit; M. Chaudhary

A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation

M. P. Chaudhary * §

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Salahuddin ‡

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Upendra Kumar Pandit ¶

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§ P.D.M College of Engineering,

‡ P. D. M College of Engineering, Bahadurgarh, Haryana...

¶ Department of Computer Engineering and Technology, S...

A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation

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Abstract

In this paper we have developed a summation formula involving contiguous relation. We have developed this formula using the contiguous relation and involving the formula derived by Salahuddin et. al.[7, p.78-84(8)].

References

7 Cites in Article

Reference Format

1. M. Abramowitz,I. Stegun (1964). Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. A.; Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables, Appl. Math. Ser. 55. U. S. Govt. Printing Office, National Bureau of Standards, Washington D. C
2. L. Andrews (1992). Special Function of Mathematics for Engineers,second Edition.
3. Asish Arora,Singh,Salahuddin Rahul (2008). Development of a family of summation formulae of half argument using Gauss and Bailey theorems. Journal of Rajasthan Academy of Physical Sciences, 7, 335-342.
4. Richard Bells,Roderick Wong (2010). Special Functions, A Graduate Text. Cambridge Studies in Advanced Mathematics
5. A. Prudnikov,Yu. Brychkov,O. Marichev (1986). Special Functions. Integrals and Series, 3
6. Rainville,p. Rice’s Hn ( ζ,ν. ),Bull. Soc (1945). The contiguous function relations for _𝑝𝐹_𝑞 with application to Batemean’s 𝐽_𝑛^𝑢,𝜈 and Rice’s 𝐻_𝑛(𝜁,𝑝,𝜈).
7. Chaudhary Salahuddin,M. Feyissa (2014).

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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

M. P. Chaudhary, Salahuddin, Upendra Kumar Pandit. 2015. "A Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue 18 (F4)).

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GJSFR Volume 15 Issue 18 (F4)

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Gauss second summation theorem prudnikov Recurrence relation

Classification

05A30

11F27; 05A17

11P83.

Submission ReceivedMarch 9, 2015
Peer Review Double Blind
Handling Editor
Accepted April 8, 2015
Published May 8, 2015

Version of record

v1.2

Issue date

May 8, 2015

Language

English

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Article Matrices

Total Score: 103

Country: India

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

Authors: Salahuddin, Upendra Kumar Pandit, M. P. Chaudhary (PhD/Dr. count: 0)

View Count (all-time): 509

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Total Downloads (simulated): 59

Publish Date: 2015 05, Fri

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Total Downloads: 59

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