On 2-variable \(q\)-Hermite polynomials

DOI10.3934/math.2021506zbMath1485.33017OpenAlexW3171401004MaRDI QIDQ2130900

Nusrat Raza, M. Zakarya, Mohammed Fadel, Kottakkaran Sooppy Nisar

Publication date: 25 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021506

zbMATH Keywords

\(q\)-Hermite polynomialsshift operatorquantum calculuspost quantum calculus

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items (3)

Thermalization in many-fermion quantum systems with one-plus random k-body interactions ⋮ Some new post‐quantum integral inequalities involving multi‐parameter and their applications ⋮ Two-variable \(q\)-Laguerre polynomials from the context of quasi-monomiality

Uses Software

• DLMF

Cites Work

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• On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
• A general class of the three-variable unified Apostol-type \(q\)-polynomials and multiple power \(q\)-sums
• A Comprehensive Treatment of q-Calculus
• q-Analog of shock soliton solution
• A (p, q)-oscillator realization of two-parameter quantum algebras
• Theq-Gamma andq-Beta Functions†
• P,Q-differentiation, P,Q-integration, and P,Q-hypergeometric functions related to quantum groups
• q-Hermite Polynomials and Classical Orthogonal Polynomials

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