Gauss-Lobatto formulae and extremal problems with polynomials.
Gegenbauer matrix polynomials and second order matrix differential equations.
Generalizations of the Bernoulli and Appell polynomials.
Generalizations of the classical Chebyshev polynomials to polynomials in two variables
Generalized Hermite Polynomials
Generalized Krawtchouk polynomials: New properties
Orthogonality conditions and recurrence relations are presented for generalized Krawtchouk polynomials. Coefficients are evaluated for the expansion of an arbitrary polynomial in terms of these polynomials and certain special values for generalized Krawtchouk polynomials are obtained. Summations of some of these polynomials and of certain products are also considered.
Generating function and orthogonality property of a class of polynomials occurring in quantum mechanics
Generating functions and special functions.
Generating functions for certain q-orthogonal polynomials.
Generating functions for Jacobi and Laguerre polynomials
Generating functions on extended Jacobi polynomials from Lie group view point.
Generating functions play a large role in the study of special functions. The present paper deals with the derivation of some novel generating functions of extended Jacobi polynomials by the application of [the] group-theoretic method introduced by Louis Weisner. In fact, by suitably interpreting the index (n) and the parameter (β) of the polynomial under consideration we define four linear partial differential operators and on showing that they generate a Lie-algebra, we obtain a new generating...
Generating new classes of orthogonal polynomials.
Generating some semiclassical orthogonal polynomials.