q-Appell polynomials

DOI10.1007/BF02416939zbMath0157.38901MaRDI QIDQ2527527

Waleed A. Al-Salam

Publication date: 1967

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

zbMATH Keywords

special functions

Related Items (40)

Difference equations of \(q\)-Appell polynomials ⋮ Approximation of Jakimovski-Leviatan-Beta type integral operators via \(q\)-calculus ⋮ Orthogonality associated with Bessel-type Sheffer sequences with Q-parameters ⋮ Determinant forms, difference equations and zeros of the \(q\)-Hermite-Appell polynomials ⋮ On certain Appell polynomials and their generalizations based on the Tsallis \(q\)-exponential ⋮ A study on \(q\)-Appell polynomials from determinantal point of view ⋮ Unnamed Item ⋮ More on the umbral calculus, with emphasis on the \(q\)-umbral calculus ⋮ On $q$-hypergeometric Bernoulli polynomials and numbers ⋮ Approximation by \(q\)-analogue of modified Jakimovski-Leviatan-Stancu type operators ⋮ The \(L\)-Appell symmetric orthogonal polynomials ⋮ Unnamed Item ⋮ Confluent Appell polynomials ⋮ On a \(q\)-analogue for Bernoulli numbers ⋮ On co-polynomials and \(d\)-orthogonality ⋮ Certain results associated with hybrid relatives of the q-Sheffer sequences ⋮ Densely generated 2D q-Appell polynomials of Bessel type and q-addition formulas ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some characterizations of Appell and q-Appell polynomials ⋮ Approximation of Modified Jakimovski-Leviatan-Beta Type Operators ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On Ward's differential calculus, Riordan matrices and Sheffer polynomials ⋮ Classical Orthogonal Polynomials of a Discrete and a q-Discrete Variable ⋮ \(q\)-difference equations for the 2-iterated \(q\)-Appell and mixed type \(q\)-Appell polynomials ⋮ \(q\)-Pascal and \(q\)-Wronskian matrices with implications to \(q\)-Appell polynomials ⋮ Some operational formulas ⋮ q-difference equations for the composite 2D q-Appell polynomials and their applications ⋮ Approximation by \(q\)-analogue of Jakimovski-Leviatan operators involving \(q\)-Appell polynomials ⋮ A note on \(q\)-Fubini-Appell polynomials and related properties ⋮ A characterization of ultraspherical, Hermite, and Chebyshev polynomials of the first kind ⋮ Certain results of \(\mathfrak{q}\)-Sheffer-Appell polynomials ⋮ Difference equations for a class of twice-iterated \(\Delta _{h}\)-Appell sequences of polynomials ⋮ Hahn-Appell polynomials and their \(d\)-orthogonality ⋮ Image of polynomials under generalized Szász operators ⋮ \(q\)-type Lidstone expansions and an interpolation problem for entire functions ⋮ A class of big (p,q)-Appell polynomials and their associated difference equations ⋮ On generalized q-poly-Bernoulli numbers and polynomials ⋮ Approximation by Jakimovski-Leviatan-beta operators in weighted space

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On Sets of Polynomials and Associated Linear Functional Operators and Equations
• Some Orthogonal q‐Polynomials
• Über Orthogonalpolynome, die q‐Differenzengleichungen genügen
• On Appell Polynomials
• Note on Appell polynomials
• Some polynomials related to theta functions

This page was built for publication: q-Appell polynomials