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

Dr. Mehar Chand

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

Dr. Mehar Chand * §

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Punjab 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. Chand. 2012. "New Theorems Involving The I-function and General Class of Polynomials". Global Journal of Science Frontier Research, 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

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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

Classification

Subject Classification- (MSC 2000) 33C45

33C60

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

English

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Article Matrices

Total Score: 150

Country: India

Subject: Global Journal of Science Frontier Research

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

View Count (all-time): 256

Total Views (Real + Logic): 1328

Total Downloads (simulated): 55

Publish Date: 2012 04, Wed

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Total Views: 1.3K

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