Add to ORKGThe class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, where λ\u3e0, are known to have all their zeros simple and exactly on the unit circle |z|=1. In this note we look at some of the associated extremal and orthogonal properties on the unit circle and on the interval (-1,1). We also give the associated Gaussian type quadrature formulas. © 2012 IMACS
AbstractLet μ be a probability measure on [0,2π]. In this paper we shall be concerned with the estim...
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
The class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, whe...
The class of hypergeometric polynomials F-2(1) (-m, b; b + (b) over bar; 1 - z) with respect to the ...
A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with...
AbstractOur purpose is to study the zeros of hypergeometric polynomials, especially those of F(−n,b;...
Introduction Orthonormal polynomials on the unit circle T { C : are defined by n , #m ...
AbstractIn this paper we consider the location of the zeros of the hypergeometric polynomials that l...
We establish a relation between Gauss quadrature formulas on the interval [-1,1] that approximate in...
We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials
Abstract. The functions of hypergeometric type are the solutions y = yν(z) of the differential equat...
We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials
We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
AbstractLet μ be a probability measure on [0,2π]. In this paper we shall be concerned with the estim...
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
The class of hypergeometric polynomials F12(-m,b;b+b̄;1-z) with respect to the parameter b=λ+iη, whe...
The class of hypergeometric polynomials F-2(1) (-m, b; b + (b) over bar; 1 - z) with respect to the ...
A three-complex-parameter class of orthogonal Laurent polynomials on the unit circle associated with...
AbstractOur purpose is to study the zeros of hypergeometric polynomials, especially those of F(−n,b;...
Introduction Orthonormal polynomials on the unit circle T { C : are defined by n , #m ...
AbstractIn this paper we consider the location of the zeros of the hypergeometric polynomials that l...
We establish a relation between Gauss quadrature formulas on the interval [-1,1] that approximate in...
We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials
Abstract. The functions of hypergeometric type are the solutions y = yν(z) of the differential equat...
We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials
We present three semi-orthogonal properties of a class of Gauss' hypergeometric polynomials
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
AbstractLet μ be a probability measure on [0,2π]. In this paper we shall be concerned with the estim...
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...
summary:We prove that as $n\to \infty $, the zeros of the polynomial $$ _{2}{F}_{1}\left [ \begin {m...