New Theorems Involving The Generalized Mellin-Barnes Type of Contour Integrals and General Class of Polynomials

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Dr. Praveen Agarwal
Dr. Praveen Agarwal M.Sc., M.Phil., Ph.D.
σ
Mehar Chand
Mehar Chand
α Anand International College of Engineering

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New Theorems Involving The Generalized Mellin-Barnes Type of Contour Integrals and General Class of Polynomials

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Abstract

In the present investigation, First we establish three new theorems, which involves generalized Mellin-Barnes type of contour integrals and general class of polynomials. Next, we obtain certain new integrals and expansion formulas by the application of our theorems. By giving suitable values to the parameters, main integral reduces to Fox’s H-function and generalized wright hypergeometric function, etc. Our Main findings provide interesting unification and extensions of a number of new results.

References

18 Cites in Article
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  18. References Références REFERENCIAS New Theorems Involving the Generalized Mellin-Barnes Type of Contour Integrals and General Class of Polynomials Notes.

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. \u201cNew Theorems Involving The Generalized Mellin-Barnes Type of Contour Integrals and General Class of Polynomials\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F3): .

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Issue Cover
GJSFR Volume 12 Issue F3
Pg. 15- 24
Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Version of record

v1.2

Issue date

April 10, 2012

Language
en
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In the present investigation, First we establish three new theorems, which involves generalized Mellin-Barnes type of contour integrals and general class of polynomials. Next, we obtain certain new integrals and expansion formulas by the application of our theorems. By giving suitable values to the parameters, main integral reduces to Fox’s H-function and generalized wright hypergeometric function, etc. Our Main findings provide interesting unification and extensions of a number of new results.

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New Theorems Involving The Generalized Mellin-Barnes Type of Contour Integrals and General Class of Polynomials

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

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