scientific article; zbMATH DE number 6945559

zbMath1435.33020MaRDI QIDQ4684397

Patrick Njionou Sadjang

Publication date: 28 September 2018

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

generating functions\(q\)-orthogonal polynomials\(q\)-Appell polynomials\(q\)-Euler and \(q\)-Genocchi polynomials\(q\)-Bernoulli\(q\)-addition theorem

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Special sequences and polynomials (11B83)

Related Items (5)

Unnamed Item ⋮ Hahn-Appell polynomials and their \(d\)-orthogonality ⋮ New product and linearization formulae of Jacobi polynomials of certain parameters ⋮ On the generalized q-poly-Euler polynomials of the second kind ⋮ On generalized q-poly-Bernoulli numbers and polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• On moments of classical orthogonal polynomials
• The theory of the umbral calculus. II
• The theory of the umbral calculus. III
• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• More on the umbral calculus, with emphasis on the \(q\)-umbral calculus
• The theory of the umbral calculus. I
• The umbral calculus
• On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials
• On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials
• Addition theorems for the Appell polynomials and the associated classes of polynomial expansions
• q-Appell polynomials
• A Comprehensive Treatment of q-Calculus
• Expansions of Hypergeometric Functions in Hypergeometric Functions
• Hypergeometric Orthogonal Polynomials and Their q-Analogues
• On the Rogers-Szego polynomials
• Certain Expansions of the Basic Hypergeometric Functions
• Solving connection and linearization problems within the Askey scheme and its \(q\)-analogue via inversion formulas
• Quantum calculus

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