TL;DR
This paper verifies Cigler's conjecture that normalized q-Hermite polynomials can be represented as moments, providing a mathematical confirmation of this relationship.
Contribution
The paper confirms Cigler's conjecture, establishing a new connection between normalized q-Hermite polynomials and moment representations.
Findings
Verification of Cigler's conjecture
Representation of q-Hermite polynomials as moments
Mathematical proof of the conjecture
Abstract
A conjecture of Cigler which realizes normalized q-Hermite polynomials as moments is verified.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical functions and polynomials · Analytic Number Theory Research