Nice q-analogs of orthogonal polynomials with nice moments: Some simple examples
Johann Cigler
TL;DR
This paper presents examples of orthogonal polynomials with simple moments that have well-behaved q-analogs, highlighting their mathematical properties and potential applications.
Contribution
It provides a collection of explicit examples of orthogonal polynomials with nice q-analogs and simple moments, enriching the theory of q-orthogonal polynomials.
Findings
Examples of orthogonal polynomials with simple moments and q-analogs.
Both moments and polynomials exhibit 'nice' properties in the q-analog setting.
Potential applications in combinatorics and special functions.
Abstract
In this note I collect some typical examples of orthogonal polynomials with simple moments where both moments and orthogonal polynomials have nice q-analogs.
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Taxonomy
TopicsMathematical functions and polynomials · Iterative Methods for Nonlinear Equations · Matrix Theory and Algorithms