q-Laguerre polynomials and related q-partial differential equations

DOI10.1080/10236198.2017.1409221zbMath1427.05033OpenAlexW2773805482MaRDI QIDQ5243403

Da-Wei Niu, Long Li

Publication date: 18 November 2019

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2017.1409221

zbMATH Keywords

\(q\)-seriesgenerating function\(q\)-Laguerre polynomial\(q\)-differential operator\(q\)-partial differential equation\(q\)-Hahn polynomiallittle \(q\)-Laguerre polynomial

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Difference equations, scaling ((q)-differences) (39A13)

Related Items (3)

Generalized q-Laguerre type polynomials and q-partial differential equations ⋮ A \(q\)-operational equation and the Rogers-Szegő polynomials ⋮ An expansion of \((q, \lambda)\)-derivative operator

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Homogeneous \(q\)-difference equations and generating functions for \(q\)-hypergeometric polynomials
• \(q\)-difference equation and \(q\)-polynomials
• Homogeneous \(q\)-partial difference equations and some applications
• \(q\)-differential operator identities and applications
• A \(q\)-extension of a partial differential equation and the Hahn polynomials
• \(q\)-integral representation of the Al-Salam-Carlitz polynomials
• A generalization of the concept of \(q\)-fractional integrals
• Limits of some q-Laguerre polynomials
• Operatormethoden für q-identitäten
• Operatormethoden für q-Identitäten II: q-Laguerre-Polynome
• The q-analogue of the Laguerre polynomials
• \(q\)-Laguerre polynomial realization of \(\mathfrak{gl}_{\sqrt{q}}(N)\)-covariant oscillator algebra
• The \(q\)-Laguerre polynomials and related moment problems
• The moment problem associated with the \(q\)-Laguerre polynomials
• A note on generalized \(q\)-difference equations for \(q\)-beta and Andrews-Askey integral
• Lectures on the theory of functions of several complex variables. Notes by Raghavan Narasimhan. Reprint
• On a system of partial differential equations and the bivariate Hermite polynomials
• On the $q$-partial differential equations and $q$-series
• A note on q-difference equations for Cigler’s polynomials
• Twoq-difference equations andq-operator identities
• An extension of the non-terminating₆φ₅summation and the Askey–Wilson polynomials
• Remarks on a generalizedq-difference equation
• A Generalization of Moak's q-Laguerre Polynomials
• q-deformed harmonic and Clifford analysis and theq-Hermite and Laguerre polynomials
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• Another q-Extension of the Beta Function
• q-Laguerre and Wall polynomials are related by the Fourier - Gauss transform
• Some Fractional q-Integrals and q-Derivatives
• On the Foundations of Combinatorial Theory V, Eulerian Differential Operators
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• A Continued Fraction Related to Some Partition Formulas of Euler

This page was built for publication: q-Laguerre polynomials and related q-partial differential equations