Determinant forms, difference equations and zeros of the \(q\)-Hermite-Appell polynomials

DOI10.3390/math6110258zbMath1402.11030OpenAlexW2901461185MaRDI QIDQ1634735

Tabinda Nahid, Subuhi Khan

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110258

zbMATH Keywords

\(q\)-difference equations\(q\)-Hermite polynomials\(q\)-Appell polynomials\(q\)-Hermite-Appell polynomials\(q\)-recurrence relations

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Recurrences (11B37)

Related Items

A new class of Appell-type Changhee-Euler polynomials and related properties ⋮ Finding determinant and integral forms of the 2-iterated \(2D\) Appell polynomials ⋮ 2-Variable Fubini-degenerate Apostol-type polynomials ⋮ Differential equations for certain hybrid special matrix polynomials ⋮ Construction of some hybrid relatives of Laguerre-Appell polynomials associated with Gould-Hopper matrix polynomials ⋮ Connection and duplication formulas for the Boas-Buck-Appell polynomials ⋮ Several characterizations of Bessel functions and their applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Difference equations of \(q\)-Appell polynomials
• Around \(q\)-Appell polynomial sequences
• Lie theory and \(q\)-Appell functions
• Some characterizations of Appell and q-Appell polynomials
• Differential equation of Appell polynomials via the factorization method
• A study on \(q\)-Appell polynomials from determinantal point of view
• On a class of generalized \(q\)-Bernoulli and \(q\)-Euler polynomials
• On a class of \(q\)-Bernoulli and \(q\)-Euler polynomials
• \(WQ^\ast\)-algebras of measurable operators
• A note on \(q\)-Bernoulli numbers and polynomials
• Representations of certain Banach \(C^*\)-modules
• q-Appell polynomials
• q‐Bernoulli numbers and polynomials
• A numerical investigation of the roots ofq-polynomials
• Representations of modules over a^*-algebra and related seminorms
• Quasi *-algebras of measurable operators
• Identities involving q-Genocchi numbers and polynomials