The Integration Of Certain Products Of The H-Funcation With Extended Jaboci Polynomials

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GULSHAN CHAND
GULSHAN CHAND
σ
Dr. V.B.L.
Dr. V.B.L.
ρ
CHAURASIA
CHAURASIA
α University of Rajasthan University of Rajasthan

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The Integration Of Certain Products Of The H-Funcation With Extended Jaboci Polynomials

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Abstract

The object of this paper is to derive a finite integral pertaining to two H-functions with extended Jacobi-polynomial. In the particular cases we have discussed the integration of product of a certain class of Feynman integral with our main integral. Application of the main result have also been discussed with the Riemann-Liouville type fractional integral operator. The results derived here are basic in nature and they are likely to be useful applications into several fields notably electromagnetic theory, statistical mechanics and probability theory.

References

12 Cites in Article
  1. R Buschman,H Srivastava (1990). The H function associated with a certain class of Feynman integrals.
  2. V Chaurasia,Srivastava (2002). Amber -The integration of certain products pertaining to the H-function with general polynomials.
  3. V Chaurasia,S Pandey (2011). Fractional integral involving a product of certain special functions.
  4. S Chiney,B Bhonsle (1975). Some results involving extended Jacobi polynomials.
  5. A Erdélyi (1954). Tables of Integral Transforms.
  6. K Gupta,R Soni (2001). New properties of generalization of hypergeometric series associated with Feynman integrals.
  7. Christian Grosche,Frank Steiner (1998). Handbook of Feynman Path Integrals.
  8. I Fujiwara (1966). Jacobi Polynomials.
  9. Nguyen Hai,S Yakubovich (1992). The Double Mellin-Barnes Type Integrals and Their Applications to Convolution Theory.
  10. A Inayat-Hussain (1987). New properties of hypergeometric series derivable from Feynman integrals : I, Transformation and reduction formulae.
  11. A Inayat-Hussain (1987). New properties of hypergeometric series derivable from Feynman integrals II. A generalisation of the H function.
  12. K Oldham,J Spanier (1974). The Fractional Calculus.

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

GULSHAN CHAND. 2012. \u201cThe Integration Of Certain Products Of The H-Funcation With Extended Jaboci Polynomials\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F4): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

April 17, 2012

Language
en
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The object of this paper is to derive a finite integral pertaining to two H-functions with extended Jacobi-polynomial. In the particular cases we have discussed the integration of product of a certain class of Feynman integral with our main integral. Application of the main result have also been discussed with the Riemann-Liouville type fractional integral operator. The results derived here are basic in nature and they are likely to be useful applications into several fields notably electromagnetic theory, statistical mechanics and probability theory.

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The Integration Of Certain Products Of The H-Funcation With Extended Jaboci Polynomials

GULSHAN CHAND
GULSHAN CHAND University of Rajasthan
Dr. V.B.L.
Dr. V.B.L.
CHAURASIA
CHAURASIA

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