Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Multivariable biorthogonal Hahn polynomials
View through CrossRef
A multivariable biorthogonal generalization of the discrete Hahn polynomials, a p+1 complex parameter family, where p is the number of variables, is presented. It is shown that the polynomials are orthogonal with respect to subspaces of lower degree and biorthogonal within a given subspace. These properties are over the discrete simplex 0≤x1+x2+⋅⋅⋅+xp≤Δ, where x1, x2,...,xp and Δ are non-negative integers. Some further properties of the closely related multivariable continuous Hahn polynomials are also discussed.
Title: Multivariable biorthogonal Hahn polynomials
Description:
A multivariable biorthogonal generalization of the discrete Hahn polynomials, a p+1 complex parameter family, where p is the number of variables, is presented.
It is shown that the polynomials are orthogonal with respect to subspaces of lower degree and biorthogonal within a given subspace.
These properties are over the discrete simplex 0≤x1+x2+⋅⋅⋅+xp≤Δ, where x1, x2,.
,xp and Δ are non-negative integers.
Some further properties of the closely related multivariable continuous Hahn polynomials are also discussed.
Related Results
Pemampatan Intraframe pada Citra Sekuensial Menggunakan Gelombang Singkat Biorthogonal
Pemampatan Intraframe pada Citra Sekuensial Menggunakan Gelombang Singkat Biorthogonal
Abstract. In the sequential image compression process there are two compression processes known as intraframe and interframe compressions. This paper focuses on intraframe compress...
Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
Biorthogonal interpolatory multiscaling functions and corresponding multiwavelets
A method for constructing a pair of biorthogonal interpolatory multiscaling functions is given and an explicit formula for constructing the corresponding biorthogonal multiwavelets...
Truncated-Exponential-Based Appell-Type Changhee Polynomials
Truncated-Exponential-Based Appell-Type Changhee Polynomials
The truncated exponential polynomials em(x) (1), their extensions, and certain newly-introduced polynomials which combine the truncated exponential polynomials with other known pol...
An algorithm for constructing biorthogonal multiwavelets with higher approximation orders
An algorithm for constructing biorthogonal multiwavelets with higher approximation orders
Given a pair of biorthogonal multiscaling functions, we present an algorithm for raising their approximation orders to any desired level. Precisely, let Φ(x) and (x) be a pair of b...
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
Generating Functions for New Families of Combinatorial Numbers and Polynomials: Approach to Poisson–Charlier Polynomials and Probability Distribution Function
The aim of this paper is to construct generating functions for new families of combinatorial numbers and polynomials. By using these generating functions with their functional and ...
Multivariable continuous Hahn polynomials
Multivariable continuous Hahn polynomials
A multivariable generalization of the continuous Hahn polynomials is presented; it is a (4p+4)-parameter family, where p is the number of variables. It is shown that they are ortho...
Multivariable Wilson polynomials
Multivariable Wilson polynomials
A multivariable biorthogonal generalization of the Wilson polynomials is presented. These are four distinct families, which in a special case occur in two complex conjugate pairs, ...
Krein–Sobolev Orthogonal Polynomials II
Krein–Sobolev Orthogonal Polynomials II
In a recent paper, Littlejohn and Quintero studied the orthogonal polynomials {Kn}n=0∞—which they named Krein–Sobolev polynomials—that are orthogonal in the classical Sobolev space...