A matrix approach to some identities involving Sheffer polynomial sequences

DOI10.1016/j.amc.2014.12.048zbMath1338.33025OpenAlexW2031431270MaRDI QIDQ298797

Dae San Kim, Taekyun Kim

Publication date: 21 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.048

zbMATH Keywords

umbral calculusSheffer sequencesgeneralized Pascal functional matrixWronskian matrix

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Other combinatorial number theory (11B75) Appell, Horn and Lauricella functions (33C65) Matrix and operator functional equations (39B42)

Related Items (6)

Certain properties of the Laguerre-Sheffer polynomials ⋮ Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind ⋮ Certain properties and applications of the 2D Sheffer and related polynomials ⋮ A characterization of the exponential symmetric Sheffer sequences ⋮ Some new identities involving Sheffer-Appell polynomial sequences via matrix approach ⋮ Unnamed Item

Cites Work

• Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus
• Differential equation and recursive formulas of Sheffer polynomial sequences
• Generalized Pascal functional matrix and its applications
• Differential equation of Appell polynomials via the factorization method
• A selected survey of umbral calculus
• Identities involving Laguerre polynomials derived from umbral calculus
• A New Approach to Bernoulli Polynomials
• Higher-order Cauchy of the second kind and poly-Cauchy of the second kind mixed type polynomials
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