New Generating Functions Pertaining To Generalized Mellin-Barnes Type of  Contour Integrals

New Generating Functions Pertaining To Generalized Mellin-Barnes Type of Contour Integrals

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Dr. Mehar Chand

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Punjabi University

New Generating Functions Pertaining To Generalized Mellin-Barnes Type of Contour Integrals

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Abstract

The aim of the present paper is to evaluate new generating functions of H-function, using Truesdell’s ascending and descending F-equation technique. These formulae are unified in nature and act as the key formulae from which we can obtain as their special cases. For the sake of illustration, we record here some special cases of our main formulae, which are believe to be new and important themselves.

References

13 Cites in Article

Reference Format

A Inayat-Hussain (1987). New properties of hypergeometric series derivable from Feynman integrals: I. Transformation and reeducation formulae.
A Inayat-Hussain (1987). New properties of hypergeometric series derivable from Feynman integrals: II. A generalization of the H-function.
A Rathie (1997). A new generalization of generalized hypergeometric functions.
B Agarwal,V Saxena (1971). On fractional integrals and derivatives.
H Srivastava,K Gupta,S Goyal (1982). The H-function of one and two variables with applications.
K Gupta,R Soni (2006). On a basic integral formula involving the product of the H-function and Fox H-function.
K Gupta,R Jain,R Agarwal (2007). On existence conditions for a generalized Mellin-Barnes type integral.
C Meijer (1946). On the G-function.
Praveen Agarwal,M Chand (2012). On a new Theorem Involving Generalized Mellin-Barnes Type of Contour Integral and Srivastava Polynomials.
P Agarwal,S Jain (2009). On unified finite integrals involving a multivariable polynomial and a generalized Mellin Barnes type of contour integral having general argument.
Praveen Agarwal,S Jain (2012). On a new Theorem Involving Generalized Mellin-Barnes Type of Contour Integral and Srivastava Polynomials.
R Buschman,H Srivastava (1990). The H-function associated with a certain class of Feynman integrals.
C Truesdell (1948). An Essay forward the unified theory of special functions.

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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. Mehar Chand. 2012. \u201cNew Generating Functions Pertaining To Generalized Mellin-Barnes Type of Contour Integrals\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F4): .

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GJSFR Volume 12 Issue F4
Pg. 57- 73

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

F-equations generating function 𝐻-function

Submission ReceivedMarch 4, 2012
Peer Review Double Blind
Handling Editor
Accepted March 28, 2012
Published April 11, 2012

Version of record

v1.2

Issue date

April 17, 2012

Language

en

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Article Matrices

Total Score: 106

Country: India

Subject: Global Journal of Science Frontier Research - F: Mathematics & Decision

Authors: Dr. Mehar Chand (PhD/Dr. count: 1)

View Count (all-time): 150

Total Views (Real + Logic): 5141

Total Downloads (simulated): 2864

Publish Date: 2012 04, Tue

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Total Views: 5141

Total Downloads: 2864

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Published Article

The aim of the present paper is to evaluate new generating functions of H-function, using Truesdell’s ascending and descending F-equation technique. These formulae are unified in nature and act as the key formulae from which we can obtain as their special cases. For the sake of illustration, we record here some special cases of our main formulae, which are believe to be new and important themselves.

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