A Summation Formula in the Light of Special Functions

M. P. Chaudhary; Salahuddin

A Summation Formula in the Light of Special Functions

M. P. Chaudhary * §

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Salahuddin

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§ P.D.M College of Engineering

A Summation Formula in the Light of Special Functions

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Abstract

The main objective of the present paper is to derive a summation formula involving certain special functions.

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.
C Gauss (1813). Disquisitiones generales circa superficies curvas, auctore Carolo Friderico Gauss..
W Koepf (1998). Hypergeometric Summation: An Algorithmic Approach to Summation and Special Function Identities.
Y Luke (1975). Mathematical functions and their approximations.
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,Vinesh Kumar (2012). A curious summation formula in the light of Gamma function and contiguous relation.
N Temme (1996). Special functions: An introduction to the classical functions of Mathematical physics.

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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. Chaudhary, Salahuddin. 2014. "A Summation Formula in the Light of Special Functions". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 14 (GJSFR Volume 14 Issue F4).

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GJSFR Volume 14 Issue 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

GJSFR-F Classification MSC 2010: 40A25

11B37

Submission ReceivedMay 15, 2014
Peer Review Double Blind
Handling Editor
Accepted June 7, 2014
Published June 18, 2014

Version of record

v1.2

Issue date

September 4, 2014

Language

English

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Article Matrices

Total Score: 147

Country: Unknown

Subject: Global Journal of Science Frontier Research

Authors: Salahuddin, M. P. Chaudhary, Sangeeta Chaudhary (PhD/Dr. count: 0)

View Count (all-time): 248

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Publish Date: 2014 06, Wed

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Total Views: 1.2K

Total Downloads: 65

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