On a.e. convergence of expansion with respect to a bounded orthonormal system of polygonals
On an irreducibility theorem of I. Schur
On Appel-type quadrature rules.
On block recursions, Askey's sieved Jacobi polynomials and two related systems
Two systems of sieved Jacobi polynomials introduced by R. Askey are considered. Their orthogonality measures are determined via the theory of blocks of recurrence relations, circumventing any resort to properties of the Askey-Wilson polynomials. The connection with polynomial mappings is examined. Some naturally related systems are also dealt with and a simple procedure to compute their orthogonality measures is devised which seems to be applicable in many other instances.
On certain formulas of Karlin and Szegö.
On certain generating functions for Laguerre polynomials
On certain subclass of Bazilevič functions.
On certain theorems in transform calculus.
On Chebyshev's polynomials and certain combinatorial identities.
On classifying Laguerre polynomials which have Galois group the alternating group
We show that the discriminant of the generalized Laguerre polynomial is a non-zero square for some integer pair , with , if and only if belongs to one of explicitly given infinite sets of pairs or to an additional finite set of pairs. As a consequence, we obtain new information on when the Galois group of over is the alternating group . For example, we establish that for all but finitely many positive integers , the only for which the Galois group of over is is .
On Eulerian integrals of the first and second kind associated with multiple hypergeometric series
On generalisation of polynomials in complex plane.
On generalized Hermite matrix polynomials.
On generalized Jacobi matrices and orthogonal polynomials.
On Hermite expansion of
On Hermite expansions of and ln|x|
On Hermite-Hermite matrix polynomials
In this paper the definition of Hermite-Hermite matrix polynomials is introduced starting from the Hermite matrix polynomials. An explicit representation, a matrix recurrence relation for the Hermite-Hermite matrix polynomials are given and differential equations satisfied by them is presented. A new expansion of the matrix exponential for a wide class of matrices in terms of Hermite-Hermite matrix polynomials is proposed.
On linear combinations of two orthogonal polynomial sequences on the unit circle.
On orthogonal polynomials related to Fibonacci numbers
On Polynomials Associated With Humbert's Polynomials