Some Properties and Integral Representations of the one variable New  Generalized Gauss Hypergeometric Polynomials

R.R. Jagtap  , P. G. Andhare, and S.B. Gaikwad

Some Properties and Integral Representations of the one variable New Generalized Gauss Hypergeometric Polynomials

Authors

R.R. Jagtap , P. G. Andhare, and S.B. Gaikwad

Keywords:

New Generalized Gauss Hypergeometric Polynomials, Integral Representation, Generating functions.

Abstract

In the present paper we have obtained finite difference formula, Simple Generating relation,Contour Integral Representation, Real Integral Representation, Single Infinite IntegralRepresentation, Finite Single Integral Representation, Infinite Single Integral Representation,Finite Double Integral Representation and Infinite Double Integral Representation of the onevariable Generalized Gauss Hypergeometric Polynomials.

References

Bajpai, S. D., and M. S. Arora. “Semi-Orthogonality of a Class of the Gauss’ Hypergeometric Polynomials.” Annales Mathématiques Blaise Pascal 1, no. 1 (1994): 75–83. https://www.numdam.org/item/AMBP_1994__1_1_75_0.pdf.

Edwards, J. A Treatise on the Integral Calculus. Vol. 2. London: Macmillan and Co. Ltd., 1922. https://archive.org/details/in.ernet.dli.2015.501480.

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Published

2024-08-20

How to Cite

R.R. Jagtap , P. G. Andhare, and S.B. Gaikwad. (2024). Some Properties and Integral Representations of the one variable New Generalized Gauss Hypergeometric Polynomials . Journal of Computational Analysis and Applications (JoCAAA), 33(08), 5873–5886. Retrieved from https://www.eudoxuspress.com/index.php/pub/article/view/3449