New Theorems Involving The I-function and General Class of Polynomials

New Theorems Involving The I-function and General Class of Polynomials

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Dr. Mehar Chand

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Punjabi University

New Theorems Involving The I-function and General Class of Polynomials

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Abstract

In the present paper we first establish three new theorems, which involves I-function 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, G-function and generalized wright hypergeometric function, etc.

References

12 Cites in Article

Reference Format

B Agawal,V Saxena (1969). The solution of generalized integral equation.
C Szego (1975). Orthogonal polynomials.
E Wright (1935). The Asymptotic Expansion of the Generalized Bessel Function.
H Srivastava (1985). A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials.
H Srivastava,K Gupta,S Goyal (1982). The H-function of one and two variables with applications.
H Srivastava,N Singh (1983). The integration of certain products of the multivariableH-function with a general class of polynomials.
L Slater (1966). Generalized hypergeometric functions.
M Qureshi,Kaleem Quraishi,Ram Pal (2011). Some de_nite integrals of Gradshteyn-Ryzhil and other integrals.
C Meijer (1946). On the G-function.
Praveen Agarwal,Shilpi Jain (2011). New Integral Formulas Involving Polynomials and Ī-Function.
V Saxena (1982). A formal solution of certain new pair of dual integral equations involving H-functions.
V Saxena (2007). The I-function.

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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 Theorems Involving The I-function and General Class of Polynomials\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. 89- 99

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

general class of polynomials generalized wright hypergeometric function I-function

Submission ReceivedMarch 7, 2012
Peer Review Double Blind
Handling Editor
Accepted March 29, 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): 140

Total Views (Real + Logic): 5411

Total Downloads (simulated): 2667

Publish Date: 2012 04, Tue

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Total Views: 5411

Total Downloads: 2667

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Published Article

In the present paper we first establish three new theorems, which involves I-function 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, G-function and generalized wright hypergeometric function, etc.

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