AbstractPart 1 of this paper presented an explicit formula for generalized Jacobi polynomials of matrix argument. These polynomials constitute a complete system of orthogonal symmetric polynomials with respect to a multivariate beta measure. Zonal spherical functions on the Grassmann manifold may be expressed in terms of generalized Jacobi polynomials, and it is shown in Part 2 that they have an integral representation which generalizes the well-known integrals for Legendre and Gegenbauer polynomials of even order. In particular cases, this integral representation may be used to construct the zonal and associated spherical functions in terms of univariate special functions
AbstractWe investigate generalized Zernike or disc polynomials Pm,nα(z,z∗) which are orthogonal 2D p...
AbstractAn integral for [Pn(α + μ,β)(x)][Pn(α + μ,β)(1)] in terms of [Pn(α,β)(y)][Pn(α,β)(1)] with a...
AbstractPersson and Strang (2003) evaluated the integral over [−1,1] of a squared odd degree Legendr...
AbstractPart 1 of this paper presented an explicit formula for generalized Jacobi polynomials of mat...
AbstractGeneralized Jacobi polynomials constitute a complete system of orthogonal symmetric polynomi...
A formula is found for the generalized Jacobi polynomials which are a complete set of orthogonal sym...
AbstractMotivated by several recent works on integrals involving various orthogonal polynomials and ...
We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one...
AbstractWe prove that the radial part of the Laplacian on the space of generalized spherical functio...
summary:In this contribution we deal with classical Jacobi polynomials orthogonal with respect to di...
AbstractFor a certain class of generalized hypergeometric polynomials, the authors first derive a ge...
AbstractThe main object of this paper is to construct a two-variable analogue of Jacobi polynomials ...
The integral representation on the orthogonal groups for zonal spherical functions on the symmetric ...
AbstractNew integral and differential formulas for zonal polynomials are proved. As illustrations, z...
AbstractThe generalized Gegenbauer polynomials are orthogonal polynomials with respect to the weight...
AbstractWe investigate generalized Zernike or disc polynomials Pm,nα(z,z∗) which are orthogonal 2D p...
AbstractAn integral for [Pn(α + μ,β)(x)][Pn(α + μ,β)(1)] in terms of [Pn(α,β)(y)][Pn(α,β)(1)] with a...
AbstractPersson and Strang (2003) evaluated the integral over [−1,1] of a squared odd degree Legendr...
AbstractPart 1 of this paper presented an explicit formula for generalized Jacobi polynomials of mat...
AbstractGeneralized Jacobi polynomials constitute a complete system of orthogonal symmetric polynomi...
A formula is found for the generalized Jacobi polynomials which are a complete set of orthogonal sym...
AbstractMotivated by several recent works on integrals involving various orthogonal polynomials and ...
We consider the Hermite – Pad´e approximants for the Cauchy transforms of the Jacobi weights in one...
AbstractWe prove that the radial part of the Laplacian on the space of generalized spherical functio...
summary:In this contribution we deal with classical Jacobi polynomials orthogonal with respect to di...
AbstractFor a certain class of generalized hypergeometric polynomials, the authors first derive a ge...
AbstractThe main object of this paper is to construct a two-variable analogue of Jacobi polynomials ...
The integral representation on the orthogonal groups for zonal spherical functions on the symmetric ...
AbstractNew integral and differential formulas for zonal polynomials are proved. As illustrations, z...
AbstractThe generalized Gegenbauer polynomials are orthogonal polynomials with respect to the weight...
AbstractWe investigate generalized Zernike or disc polynomials Pm,nα(z,z∗) which are orthogonal 2D p...
AbstractAn integral for [Pn(α + μ,β)(x)][Pn(α + μ,β)(1)] in terms of [Pn(α,β)(y)][Pn(α,β)(1)] with a...
AbstractPersson and Strang (2003) evaluated the integral over [−1,1] of a squared odd degree Legendr...