An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function

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Frederic Ayant
Frederic Ayant

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An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function

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Abstract

In this paper, we first evaluate a unified and general finite multiple integral whose integrand involves the product of the functions and the multivariable Gimel-function occurring in the integrand involve the product of factors of the form while that of occurring herein involves a finite series of such finite series of such factors. On account of the most general nature of the functions occurring in the integrand of our main integral, a large number of new and known integrals can easily be obtained from ot merely by specializing the functions and parameters involved therein. At the end of this study, we illustrate a new integral whose integrand involves a product of the Jacobi polynomial, the Appell’s function and the Bessel function

References

14 Cites in Article
  1. Frédéric Ayant (2016). An integral associated with Aleph-functions of several variables.
  2. Frédéric Ayant (2018). An expansion formula for multivariable Gimel-function involving generalized Legendre Associated function.
  3. B Braaksma (1962). Asymptotics expansions and analytic continuations for a class of Barnes-integrals.
  4. K Gupta,R Jain (1993). A unified study of some multiple integrals.
  5. Jagdish Prasad,Bhoopendra Verma (1986). Zooplankton Diversity in Didwana Lake: A Saline Lake in Rajasthan.
  6. J Prathima,V Nambisan,S Kurumujji (2014). A Study of I-function of Several Complex Variables.
  7. H Srivastava (1972). A class of integral equations involving the H function as kernel.
  8. H Srivastava,K Gupta,S Goyal (1982). The H-function of one and two variables with applications.
  9. H Srivastava,Pee Karlsson (1985). Multiple Gaussian hypergeometric serie.
  10. H Srivastava,R Panda (1976). Some bilateral generating functions for a class of generalized hypergeometric polynomials..
  11. A Gupta,D Kabe (1993). Some generalized multiple integrals involving zonal polynomials.
  12. H Srivastava,R Panda (1976). Some expansion theorems and generating relations for the H-function of several complex variables II.
  13. H Srivastava,N Singh (1983). The integration of certain products of the multivariableH-function with a general class of polynomials.
  14. H Srivastava,Rekha Panda (1975). Some analytic or asymptotic confluent expansions for functions of several variables.

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

Frederic Ayant. 2018. \u201cAn Unified Study of Some Multiple Integrals with Multivariable Gimel-Function\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 18 (GJSFR Volume 18 Issue F6): .

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Issue Cover
GJSFR Volume 18 Issue F6
Pg. 23- 29
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification: 33C99, 33C60, 44A20
Version of record

v1.2

Issue date

August 10, 2018

Language
en
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Published Article

In this paper, we first evaluate a unified and general finite multiple integral whose integrand involves the product of the functions and the multivariable Gimel-function occurring in the integrand involve the product of factors of the form while that of occurring herein involves a finite series of such finite series of such factors. On account of the most general nature of the functions occurring in the integrand of our main integral, a large number of new and known integrals can easily be obtained from ot merely by specializing the functions and parameters involved therein. At the end of this study, we illustrate a new integral whose integrand involves a product of the Jacobi polynomial, the Appell’s function and the Bessel function

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An Unified Study of Some Multiple Integrals with Multivariable Gimel-Function

Frederic Ayant
Frederic Ayant

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