Three types of polynomials related to q-oscillator algebra

2013/11/22 by Won Sang Chung, Chung, Won Sang, Mahouton Norbert Hounkonnou +3
Mathematics · #Advanced Mathematical Identities #FOS: Physical sciences #Fractional Differential Equations Solutions #Mathematical Physics (math-ph) #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1311.5684

openalex publication_date 2013/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work addresses a full characterization of three new q-polynomials derived from the q-oscillator algebra. Related matrix elements and generating functions are deduced. Further, a connection between Hahn factorial and q-Gaussian polynomials is established.

Related

• Two q-operational equations and Hahn polynomials
• Some generating functions for q-polynomials
• New q-Hermite polynomials: characterization, operator algebra and associated coherent states
• q-Chebyshev polynomials
• Generalized q-deformed oscillators, q-Hermite polynomials, generalized coherent states