Topics on Meixner families

2008/12/22 by Marek Bożejko, M. Bozejko, Bozejko, M. +3 · 1 citation
Mathematics · Physics and Astronomy · #33C45 #34M05 #42C15 #FOS: Physical sciences #Mathematical Physics (math-ph) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #advanced mathematical theories #math-ph #math.MP #msc:33C45 #msc:34M05 #msc:42C15

paper · pdf · doi:10.48550/arxiv.0812.4315

This version contains the proof of Gallardo-Yor's conjecture

openalex publication_date 2008/12/22 · arxiv created 2009/07/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We shed the light on the inter-connections between different characterizations leading to the classical, free and quantum Meixner families.

Citations

• Ultraspherical type generating functions for orthogonal polynomials

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