Sequences of binomial type with persistent roots

DOI10.1006/jmaa.1996.0125zbMath0853.05016OpenAlexW2013349083MaRDI QIDQ1916807

Alessandro Di Bucchianico, Daniel E. Loeb

Publication date: 3 December 1996

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/a08973dc946872d01196fd720933581c8a83f6f8

zbMATH Keywords

sequences of polynomialsumbral calculusSheffer sequencesdivided differenceinvertible operatorconvolution sequencegeneralized Appell polynomialshyperbolic shiftpersistent roots

Mathematics Subject Classification ID

Related Items (14)

On the operations of sequences in rings and binomial type sequences ⋮ A construction of low-discrepancy sequences involving finite-row digital \((t,s)\)-sequences ⋮ A new recurrence relation and related determinantal form for binomial type polynomial sequences ⋮ Extended finite operator calculus -- an example of algebraization of analysis ⋮ Computer algebra and umbral calculus ⋮ Triangular expansions ⋮ The factorial-basis method for finding definite-sum solutions of linear recurrences with polynomial coefficients ⋮ On extended umbral calculus, oscillator-like algebras and generalized Clifford algebra ⋮ Polynomial sequences of bounded operators. ⋮ Generalized Bernstein polynomials and symmetric functions ⋮ The group of generalized Stirling numbers ⋮ Polynomial rings in which delta operators are derivations ⋮ A combinatorial interpretation of the connection constants for persistent sequences of polynomials ⋮ Some binomial formulas of the generalized Appell form

This page was built for publication: Sequences of binomial type with persistent roots