One result shows that the discrete orthogonal polynomials still satisfy a three-term relation and Favard's theorem holds in this general setting.

Polynomial subspaces that contain discrete orthogonal polynomials with respect to the bilinear form hf, gi = L(fg) are identified. One result shows that the ...

Jan 29, 2004 · Polynomial subspaces that contain discrete orthogonal polynomials with respect to the bilinear form <f,g> = \CL(f g) are identified. One result ...

Discrete orthogonal polynomials of several variables are far less studied. Their orthogonal structure is much more complicated than that of one variable.

Second order difference equations and discrete orthogonal polynomials of two variables · Image representation based on fractional order Legendre and Laguerre ...

... The bivariate orthogonal polynomials are used to define a continuous and discrete orthogonal moments are discussed in [10]. Only a few papers have used ...

TL;DR: One result shows that the discrete orthogonal polynomials still satisfy a three-term relation and Favard's theorem holds in this general setting.

May 4, 2021 · A polynomial p is orthogonal with respect to the orthogonality measure µ if it is orthogo- nal with respect to L defined in (2.2.6). Thus, all ...

Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation.

A system of orthogonal polynomials of several discrete variables associated with the negative polynomial distribution is constructed and analyzed.