A multiplier theorem for Jacobi expansions
A new approach to the problem of constructing recurrence relations for the Jacobi coefficients
A new irrationality measure for ζ(3)
A new semi-orthogonal relation for the Laguerre polynomials
A Note on a Classical Generating Function for the Jacobi Polynomials
Mathematics Subject Classification: 33C45.A more general form for a classical generating function for the Jacobi polynomials is given.* Partially supported by Project MM 1305 - National Science Fund, Bulgarian Ministry of Educ. Sci.
A note on a monotonicity property of Bessel functions.
A note on density of the zeros of sigma-orthogonal polynomials
A note on generating functions of Cesàro polynomials of several variables
A note on Krawtchouk polynomials and Riordan arrays.
A note on Laguerre polynomials of m-variables
A note on orthogonality preserving operators
A note on some expansions of p-adic functions
Introduction. Recently J. Rutkowski (see [3]) has defined the p-adic analogue of the Walsh system, which we shall denote by . The system is defined in the space C(ℤₚ,ℂₚ) of ℂₚ-valued continuous functions on ℤₚ. J. Rutkowski has also considered some questions concerning expansions of functions from C(ℤₚ,ℂₚ) with respect to . This paper is a remark to Rutkowski’s paper. We define another system in C(ℤₚ,ℂₚ), investigate its properties and compare it to the system defined by Rutkowski. The system...
A note on the means
A pair of biorthogonal polynomials for the Szegö-Hermite weight function.
A probablistic origin for a new class of bivariate polynomials.
A property of Laguerre polynomials.
A recursion formula for the moments of the gaussian orthogonal ensemble
We present an analogue of the Harer–Zagier recursion formula for the moments of the gaussian Orthogonal Ensemble in the form of a five term recurrence equation. The proof is based on simple gaussian integration by parts and differential equations on Laplace transforms. A similar recursion formula holds for the gaussian Symplectic Ensemble. As in the complex case, the result is interpreted as a recursion formula for the number of 1-vertex maps in locally orientable surfaces with a given number of...
A representation of Jacobi functions.
A set of orthogonal polynomials induced by a given orthogonal polynomial.
A study of -Laguerre polynomials through the -operator
The present paper deals with certain generating functions and recurrence relations for -Laguerre polynomials through the use of the -operator introduced in an earlier paper [7].