Summation formula for generalized discrete $q$-Hermite II polynomials

zbMath1457.33002arXiv1902.09994MaRDI QIDQ5212942

Sama Arjika

Publication date: 30 January 2020

Full work available at URL: https://arxiv.org/abs/1902.09994

zbMATH Keywords

basic orthogonal polynomialsconnection formuladiscrete \(q\)-Hermite II polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Cites Work

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• Some multilinear generating functions for q-Hermite polynomials
• Some families of multilinear \(q\)-generating functions and combinatorial \(q\)-series identities
• Some Orthogonal q‐Polynomials
• Beiträge zur Theorie der Heineschen Reihen. Die 24 Integrale der hypergeometrischen q‐Differenzengleichung. Das q‐Analogon der Laplace‐Transformation

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