Some Integrals Pertaining Biorthogonal Polynomials and Certain Product of Special Functions

Dr. Poonia, M.S.

Some Integrals Pertaining Biorthogonal Polynomials and Certain Product of Special Functions

Dr. Poonia, M.S. * § Ph. D.

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§ NIMS University, Jaipur, Rajsthan, India.

Some Integrals Pertaining Biorthogonal Polynomials and Certain Product of Special Functions

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Abstract

The main object of this paper is to obtain some integrals and series relation pertaining to biorthogonal polynomials, Fox’s H-function, the general class of polynomials and the Hfunction of several complex variables.

References

15 Cites in Article

Reference Format

K Bhatt (1987). Integrals involving certain products of biorthogonal polynomials and the H-function.
B Braaksma (1963). Asymptotic expansion and analytic continuations for a class of a Barnes integrals.
V Chaurasia (2010). Certain integral properties pertaining to special functions.
V Chaurasia,Mukesh Agnihotri (2009). The product of generalized polynomials sets pertaining to a class of convolution integral equations.
C Fox (1961). The G and H-functions as symmetrical Fourier kernels.
P Mittal,K Gupta (1972). An integral involving generalized function of two variables.
T Prabhakar,R Tomar (1980). Some integrals and series relations for biorthogonal polynomials suggested by the Legendre polynomials.
H Srivastava,M Daoust (1969). Certain generalized Neuman expansions associated with the Kampé de Fériet function.
H Srivastavaa,M Daoust (1971). Some generating functions for the Jacobi polynomials.
H Srivastava,R Panda (1976). Expansion theorem for the H-function of several complex variables.
H Srivastava,R Panda (1971). Some bilateral generating functions for a class of generalized hypergeometric polynomials..
H Srivastava (1985). A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials.
S Bajpai (1972). A contour integral involving legendre polynomial and Meijer’s G-function.
P Skibinski (1970). Some expansion theorems for the H-function.
M Sharma (2008). Fractional integration and fractional differentiation of the M-Series.

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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. Poonia, M.S.. 2012. "Some Integrals Pertaining Biorthogonal Polynomials and Certain Product of Special Functions". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 12 (GJSFR Volume 12 Issue F11).

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GJSFR Volume 12 Issue F11

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords

Fox’s H-function the general class of polynomials and the H-function of complex variables

Classification

GJSFR-F Classification MSC 2010: 14K20

Submission ReceivedJuly 19, 2012
Peer Review Double Blind
Handling Editor
Accepted August 8, 2012
Published August 21, 2012

Version of record

v1.2

Issue date

September 12, 2012

Language

English

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Article Matrices

Total Score: 151

Country: India

Subject: Global Journal of Science Frontier Research

Authors: Dr. Poonia, M.S. (PhD/Dr. count: 1)

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Publish Date: 2012 08, Tue

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