Add to ORKGDedicated to William B. Jones on the occasion of his 70th birthday ABSTRACT. We recount previous development of d-fold doubling of orthogonal polynomial sequences and give new results on rational function coefficients, recurrence formulas, continued fractions, Rodrigues ’ type formulas, and differential equations, for the general case and, in particular, for the d-fold Hermite orthogonal rational functions. 1. Introduction. Orthogona
AbstractIn this paper we give a new characterization of the classical orthogonal polynomials (Jacobi...
AbstractIn this work, the coefficients of orthogonal polynomials are obtained in closed form. Our fo...
In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal wi...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
The recurrence and quadrature formulas for orthogonal rational functions on the half line are derive...
AbstractWe are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polyn...
AbstractWe extend results presented in Gustafon and Hagler (J. Comput. Appl. Math. 105 (1999) 317–32...
We derive formulas relating the recurrence coefficients for orthogonal rational functions on the hal...
Special functions and orthogonal polynomials in particular have been around for centuries. Can you i...
A class of continued fractions is discussed that generalize the real J-fractions, and which have the...
Suppose A is a large Hermitian NxN matrix and v an N-vector. Then de space K_n(A,v)={v_0,...,v_{n-1}...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
AbstractA special class of orthogonal rational functions (ORFs) is presented in this paper. Starting...
AbstractLet {μk}−∞+∞ be a given double infinite sequence of complex numbers. By defining a linear fu...
We investigate some combinatorial and analytic properties of the n-dimensional Hermite polynomials i...
AbstractIn this paper we give a new characterization of the classical orthogonal polynomials (Jacobi...
AbstractIn this work, the coefficients of orthogonal polynomials are obtained in closed form. Our fo...
In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal wi...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
The recurrence and quadrature formulas for orthogonal rational functions on the half line are derive...
AbstractWe are dealing with the concept of d-dimensional orthogonal (abbreviated d-orthogonal) polyn...
AbstractWe extend results presented in Gustafon and Hagler (J. Comput. Appl. Math. 105 (1999) 317–32...
We derive formulas relating the recurrence coefficients for orthogonal rational functions on the hal...
Special functions and orthogonal polynomials in particular have been around for centuries. Can you i...
A class of continued fractions is discussed that generalize the real J-fractions, and which have the...
Suppose A is a large Hermitian NxN matrix and v an N-vector. Then de space K_n(A,v)={v_0,...,v_{n-1}...
Consider the sequence of poles A = {α_1,α_2, . . .}, and suppose the rational functions φ_j with pol...
AbstractA special class of orthogonal rational functions (ORFs) is presented in this paper. Starting...
AbstractLet {μk}−∞+∞ be a given double infinite sequence of complex numbers. By defining a linear fu...
We investigate some combinatorial and analytic properties of the n-dimensional Hermite polynomials i...
AbstractIn this paper we give a new characterization of the classical orthogonal polynomials (Jacobi...
AbstractIn this work, the coefficients of orthogonal polynomials are obtained in closed form. Our fo...
In this paper we study some asymptotic properties of the sequence of monic polynomials orthogonal wi...