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

α
dr._m._p._chaudhary
dr._m._p._chaudhary
σ
Salahuddin
Salahuddin
ρ
Upendra Kumar Pandit
Upendra Kumar Pandit
Ѡ
M. P. Chaudhary
M. P. Chaudhary
α Amercian Mathematical Society, USA Amercian Mathematical Society, USA

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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. M Abramowitz,I Stegun (1964). Handbook of Mathematical Functions with Formulas Graphs and Mathematical Tables.
  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.
  4. Richard Bells,Roderick Wong (2010). Special Functions, A Graduate Text.
  5. A Prudnikov,Yu Brychkov,O Marichev (1986). More Special Functions.
  6. E Rainville (1945). The contiguous function relations for with applications to Bateman's and Rice's ( ).

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

dr._m._p._chaudhary. 2015. \u201cA Summation Formula of Half Argument in the Light of Hypergeometric Function and Involving Contiguous Relation\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 15 (GJSFR Volume 15 Issue F4): .

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Issue Cover
GJSFR Volume 15 Issue F4
Pg. 95- 110
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
en
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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,].

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

Salahuddin
Salahuddin
Upendra Kumar Pandit
Upendra Kumar Pandit
M. P. Chaudhary
M. P. Chaudhary

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