Ladder Operators for q-orthogonal Polynomials
Yang Chen, Mourad E.H. Ismail
TL;DR
This paper develops q-difference ladder operators for a class of orthogonal polynomials associated with indeterminate moment problems, extending classical concepts into the q-analog domain.
Contribution
It introduces the first derivation of q-difference ladder operators for orthogonal polynomials linked to indeterminate moments.
Findings
Derived explicit q-difference ladder operators.
Extended classical ladder operator theory to q-orthogonal polynomials.
Provided tools for further analysis of indeterminate moment problems.
Abstract
The q-difference analog of the classical ladder operators is derived for those orthogonal polynomials arising from a class of indeterminate moments problem.
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