New Finite Integrals of Generalized Meliin-Barnes Type of Contour Integrals

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YP72I

New Finite Integrals of Generalized Meliin-Barnes Type of Contour Integrals

Dr. Praveen Agarwal
Dr. Praveen Agarwal Anand International College of Engineering
DOI

Abstract

In the present paper, we obtain three new finite integral formulas. These formulas involve the product of a general class of polynomials and the generalized Meliin- Barnes type of contour integrals. Mainly we are using series representation of the H-function given by Agarwal [14], Agarwal and Jain [13]. These integral formulas are unified in nature and act as the key formulas from which we can obtain as their special cases. By giving suitable values to the parameters, our main integral formulas are reduces to the Fox H-function, the G-function and generalized wright hypergeometric function.

New Finite Integrals of Generalized Meliin-Barnes Type of Contour Integrals

In the present paper, we obtain three new finite integral formulas. These formulas involve the product of a general class of polynomials and the generalized Meliin- Barnes type of contour integrals. Mainly we are using series representation of the H-function given by Agarwal [14], Agarwal and Jain [13]. These integral formulas are unified in nature and act as the key formulas from which we can obtain as their special cases. By giving suitable values to the parameters, our main integral formulas are reduces to the Fox H-function, the G-function and generalized wright hypergeometric function.

Dr. Praveen Agarwal
Dr. Praveen Agarwal Anand International College of Engineering

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Dr. Praveen Agarwal. 2012. “. Global Journal of Science Frontier Research – F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F3): .

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Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR Volume 12 Issue F3
Pg. 65- 72
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New Finite Integrals of Generalized Meliin-Barnes Type of Contour Integrals

Dr. Praveen Agarwal
Dr. Praveen Agarwal Anand International College of Engineering

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