A Note on Sequence of Functions associated with the Generalized Jacobi polynomial

D. Waghela; S.B. Rao

doi:10.15421/242316

A Note on Sequence of Functions associated with the Generalized Jacobi polynomial

D. Waghela (Maharaja Sayajirao University of Baroda)
S.B. Rao (Maharaja Sayajirao University of Baroda), https://orcid.org/0000-0002-5672-4927

Abstract

An attempt is made to introduce and use operational techniques to study about a new sequence of functions containing generalized Jacobi polynomial. Some generating relations, finite summation formulae, explicit representation of a sequence of function $$$S_{n,\tau ,k}^{(\alpha ,\beta ,\gamma ,\delta )} (x;a,u,v)$$$ associated with the generalized Jacobi polynomial $$$P_{n,\,\tau }^{\left( {\alpha ,\,\gamma ,\,\beta } \right)} (x)$$$ have been deduced.

Keywords

Jacobi polynomial; generalized Jacobi polynomial; generating relations; finite summation formulae

MSC 2020

33E20; 44A99; 33C45; 33E30; 33E12; 33E99

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