Some New Properties of Generalized Polynomials and H-Function Associated with Feynman Integrals

Nawal Kishor Jangid

Some New Properties of Generalized Polynomials and H-Function Associated with Feynman Integrals

Nawal Kishor Jangid * §

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University of Rajasthan

Some New Properties of Generalized Polynomials and H-Function Associated with Feynman Integrals

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Abstract

In the present paper we study the integrals involving generalized polynomials (multivariable) and the -function. The -function was proposed by Inayat-Hussain which contain a certain class of Feynman integrals, the exact partition function of the Gaussian model in statistical mechanics and several other functions as its particular cases. Our integrals are unified in nature and act as key formulae from which we can derive as particular cases, integrals involving a large number of simpler special functions and polynomials. For the sake of illustration, we give here some particular cases of our main integral which are also new and of interest by themselves. At the end, we give applications of our main findings by interconnecting them with the Riemann-Liouville type of fractional integral operator. The results obtained by us are basic in nature and are likely to find useful applications in several fields notably electricals networks, probability theory and statistical mechanics.

References

15 Cites in Article

Reference Format

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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

Nawal Jangid. 2013. "Some New Properties of Generalized Polynomials and H-Function Associated with Feynman Integrals". Global Journal of Science Frontier Research, Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue F2).

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GJSFR Volume 13 Issue F2

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

- function Feynman integrals fractional integral operator generalized polynom ials

Classification

GJSFR-F Classification MSC 2010: 08A40

81Q30

Submission ReceivedFebruary 13, 2013
Peer Review Double Blind
Handling Editor
Accepted March 6, 2013
Published March 21, 2013

Version of record

v1.2

Issue date

April 10, 2013

Language

English

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Article Matrices

Total Score: 151

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Dr. V.G.Gupta, Nawal Kishor Jangid (PhD/Dr. count: 1)

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