On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

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Frederic Ayant
Frederic Ayant

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Recently, Raina and Srivastava and Srivastava and Hussain have provided closed-form expressions for a number of an Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable A-functions defined by Gautam et Asgar[4], a class of multivariable polynomials and the extension of the Hurwitz-Lerch Zeta function. These integrals will serve as a fundamental formula from which one can deduce numerous useful integrals.

15 Cites in Articles

References

  1. F Ayant (2016). On general multiple Eulerian integrals involving the multivariable Afunction, a general class of polynomials and the generalized multiple-index Mittag-Leffler function.
  2. A Bhargava,A Srivastava,O Mukherjee (2014). International Journal of Latest Technology in Engineering, Management & Applied Science.
  3. B Gautam,A Asgar,A Goyal (1980). The A-function.
  4. B Gautam,A Asgar,A Goyal (1986). Government Versus Farmers’: A Conflict Over the Neo Liberal Agricultural Reforms in India: A Review.
  5. S Goyal,T Mathur (2003). On general multiple Eulerian integrals and fractional integration.
  6. I Gradsteyn,I Ryxhik (1980). Table of integrals, series and products.
  7. R Raina,H Srivastava (1993). Evaluation of a certain class of Eulerian integrals.
  8. M Saigo,M,R Saxena Unified fractional integral formulas forthe multivariable H-function.
  9. H Srivastava,H,M Daoust (1969). Certain generalized Neumann expansions associated with Kampé de Fériet function.
  10. H Srivastava,M Garg (1987). Some integrals involving general class of polynomials and the multivariable H function.
  11. H Srivastava,M Hussain (1995). Fractional integration of the H-function of several variables.
  12. H Srivastava,P Karlsson (1985). Multiple Gaussian Hypergeometric series.
  13. H Srivastava,Rekha Panda (1975). Some analytic or asymptotic confluent expansions for functions of several variables.
  14. H Srivastava,R Panda (1976). Some bilateral generating functions for a class of generalized hypergeometric polynomials.
  15. Frédéric Ayant (1987). Some finite integrals and Fourier serie involving general class of polynomials, biorthogonal polynomials, Aleph-function and the multivariable Aleph-function.

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.

Frederic Ayant. 2017. \u201cOn a General Class of Multiple Eulerian Integrals with Multivariable A-Functions\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 17 (GJSFR Volume 17 Issue F8): .

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 05C45
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v1.2

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December 19, 2017

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English

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Recently, Raina and Srivastava and Srivastava and Hussain have provided closed-form expressions for a number of an Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable A-functions defined by Gautam et Asgar[4], a class of multivariable polynomials and the extension of the Hurwitz-Lerch Zeta function. These integrals will serve as a fundamental formula from which one can deduce numerous useful integrals.

Recently, Raina and Srivastava and Srivastava and Hussain have provided closed-form expressions for a number of an Eulerian integral involving multivariable H-functions. Motivated by these recent works, we aim at evaluating a general class of multiple Eulerian integrals concerning the product of two multivariable A-functions defined by Gautam et Asgar[4], a class of multivariable polynomials and the extension of the Hurwitz-Lerch Zeta function. These integrals will serve as a fundamental formula from which one can deduce numerous useful integrals.

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On a General Class of Multiple Eulerian Integrals with Multivariable A-Functions

Frederic Ayant
Frederic Ayant

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