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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
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): .
Crossref Journal DOI 10.17406/GJSFR
Print ISSN 0975-5896
e-ISSN 2249-4626
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Total Score: 131
Country: France
Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision
Authors: Frederic Ayant (PhD/Dr. count: 0)
View Count (all-time): 161
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Publish Date: 2018 08, Fri
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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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