A Unified Study Of Fourier Series Involving Generalized Hypergeometric Function

A Unified Study Of Fourier Series Involving Generalized Hypergeometric Function

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Naseem A.Khan

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Dr. Yashwant Singh

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Aligarh Muslim University

A Unified Study Of Fourier Series Involving Generalized Hypergeometric Function

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Abstract

In this paper, we make an application of an integral involving sine function, exponential function, the product of Kamp´e de F´eriet functions and the I-function to evaluate three fourier series. We also evaluate a multiple integral involving the Ifunction to make its application to derive a multiple exponential Fourier series. Some known and interesting particular cases are also given at the end.

References

6 Cites in Article

Reference Format

P Appel,J Kampé De Fériet (1926). Fonctions Hypergeometriques et Hyperspheriques ; Polymers d' Hermite.
R Chandel,Singh,R Agarwal,H Kumar (1992). Fourier series involving the multivariable H-function of Srivastava and Panda.
Charles Fox (1961). The $G$ and $H$ functions as symmetrical Fourier kernels.
S Mishra (1990). Integrals involving Legendre functions,generalized hypergeometric series and Fox's H-function,and Fourier-Legendre series for products of generalized hypergeometric functions.
V Saxena (1982). Formal solution of certain new pair of dual integral equations involving H-function.
H Srivastava,K Gupta,S Goyal (1982). The H-function of One and Two Variables with Applications.

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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

Naseem A.Khan. 2012. \u201cA Unified Study Of Fourier Series Involving Generalized Hypergeometric Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F4): .

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GJSFR Volume 12 Issue F4
Pg. 45- 55

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Fourier series I-function Kampé de Fériet function

Submission ReceivedFebruary 29, 2012
Peer Review Double Blind
Handling Editor
Accepted March 26, 2012
Published April 6, 2012

Version of record

v1.2

Issue date

April 17, 2012

Language

en

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Article Matrices

Total Score: 107

Country: India

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

Authors: Dr. Yashwant Singh, Naseem A.Khan (PhD/Dr. count: 1)

View Count (all-time): 156

Total Views (Real + Logic): 5365

Total Downloads (simulated): 2735

Publish Date: 2012 04, Tue

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Total Views: 5365

Total Downloads: 2735

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Published Article

In this paper, we make an application of an integral involving sine function, exponential function, the product of Kamp´e de F´eriet functions and the I-function to evaluate three fourier series. We also evaluate a multiple integral involving the Ifunction to make its application to derive a multiple exponential Fourier series. Some known and interesting particular cases are also given at the end.

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