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

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