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

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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,].

References

6 Cites in Article
  1. 1. M Abramowitz,I Stegun (1964). Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables. Appl. Math. Ser, 55
  2. 2. L Andrews (1992). Special Function of Mathematics for Engineers,second Edition. Special Function of Mathematics for Engineers,second Edition
  3. 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. 4. Richard Bells,Roderick Wong (2010). Special Functions, A Graduate Text.
  5. 5. A Prudnikov,Yu Brychkov,O Marichev (1986). More Special Functions. Integrals and Series, 3
  6. 6. E Rainville (1945). The contiguous function relations for with applications to Bateman's and Rice's ( ). Bull. Amer. Math. Soc, 51, 714-723.

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 F4).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
05A30
11F27; 05A17
11P83.
Version of record

v1.2

Issue date
June 4, 2015

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

M. Chaudhary
M. Chaudhary P.D.M College of Engineering,
Salahuddin
Salahuddin
Salahuddin
Salahuddin
Upendra Pandit
Upendra Pandit