Sequences of binomial type with persistent roots
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Publication:1916807
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
sequences of polynomialsumbral calculusSheffer sequencesdivided differenceinvertible operatorconvolution sequencegeneralized Appell polynomialshyperbolic shiftpersistent roots
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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
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