Integral Formulaeas Involving Two H I-function and Multivariable Polynomials

Dr. Praveen Agarwal
Dr. Praveen Agarwal M.Sc., M.Phil., Ph.D.
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Integral Formulaeas Involving Two H I-function and Multivariable Polynomials

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Abstract

The aim of the present paper is to derive a new Integral formulae’s for the H -function due to Inayat-Hussain whose based upon some integral formulae due to Qureshi et.al. The results are obtained in a compact form containing the multivariable Polynomials.

References

15 Cites in Article
  1. A Inayat-Hussain (1987). New properties of hypergeometric series derivable from Feynman integrals. I. Transformation and reduction formulae.
  2. A Inayat-Hussain (1987). New properties of hypergeometric series derivable from Feynman integrals: II.A generalization of the H-function.
  3. A Rathie (1997). A new generalization of generalized hypergeometric functions.
  4. E Wright (1935). The asymptotic expansion of the generalized Bessel Function.
  5. H Sarivastava (1972). A contour integral involving Fox's H-function.
  6. H Srivastava,K Gupta,S Goyal (1982). The H-function of one and two variables with applications.
  7. Frédéric Ayant (1987). Some finite integrals and Fourier serie involving general class of polynomials, biorthogonal polynomials, Aleph-function and the multivariable Aleph-function.
  8. H Srivastava,N Singh (1983). The integration of certain products of the multivariable H-function with a general class of polynomials.
  9. K Gupta,R Soni (2006). On a basic integral formula involving the product of the H-function and Fox H-function.
  10. K Gupta,R Jain,R Agarwal (2007). On existence conditions for a generalized Mellin-Barnes type integral.
  11. M Qureshi,Kaleem Quraishi,Ram Pal (2011). Some de_nite integrals of Gradshteyn-Ryzhil and other integrals.
  12. C Meijer (1946). On the G-function.
  13. P Agarwal,S Jain (2009). On unified finite integrals involving a multivariable polynomial and a generalized Mellin Barnes type of contour integral having general argument.
  14. P (2011). On a new Theorem Involving Generalized Mellin-Barnes Type of Contour Integral and Srivastava Polynomials.
  15. R Buschman,H Srivastava (1990). The H function associated with a certain class of Feynman integrals.
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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

Dr. Praveen Agarwal. 2012. \u201cIntegral Formulaeas Involving Two H I-function and Multivariable Polynomials\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F4).

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  • CC-BY-ND-NC 4.0
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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
general class of polynomialsgeneralized wright hypergeometric functionH-function
  • Submission ReceivedJanuary 5, 2012
  • Peer Review Double Blind
    Handling Editor
  • Accepted January 30, 2012
  • Published February 9, 2012
Version of record

v1.2

Issue date
April 17, 2012

Language
en
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High-quality academic research articles on global topics and journals.

Integral Formulaeas Involving Two H I-function and Multivariable Polynomials

Dr. Praveen Agarwal
Dr. Praveen Agarwal <p>Anand International College of Engineering</p>
  • Submission ReceivedJanuary 5, 2012
  • Peer Review Double Blind
    Handling Editor
  • Accepted January 30, 2012
  • Published February 9, 2012

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