Proof of two conjectures on Askey-Wilson polynomials
K. Castillo, D. Mbouna
TL;DR
This paper confirms two conjectures related to Askey-Wilson polynomials, advancing the understanding of their properties in the field of orthogonal polynomials.
Contribution
It provides the first positive proofs of two conjectures posed by Ismail regarding Askey-Wilson polynomials.
Findings
Confirmed two conjectures on Askey-Wilson polynomials
Enhanced understanding of orthogonal polynomial properties
Strengthened theoretical foundations in the field
Abstract
We give positive answer to two conjectures posed by M. E. H Ismail in his monograph [Classical and quantum orthogonal polynomials in one variable, Cambridge University Press, 2005].
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Taxonomy
TopicsMathematical functions and polynomials · Advanced Mathematical Identities · Analytic Number Theory Research