The umbral calculus
type: Item
instance of: scholarly article
title: The umbral calculus
zbMATH Open document ID: 0375.05007
DOI: 10.1016/0001-8708(78)90087-7
author: Steven Roman
author: Gian-Carlo Rota
published in: Advances in Mathematics
publication date: 1978-01-01T00:00:00Z
Mathematics Subject Classification ID: 05A40
Mathematics Subject Classification ID: 06E05
Mathematics Subject Classification ID: 46F99
Mathematics Subject Classification ID: 46J99
zbMATH DE Number: 3583825
Wikidata QID: Q56169334
MaRDI profile type: Publication
full work available at URL: 0001-8708(78)90087-7
OpenAlex ID: W4210962187
cites work: On the foundations of combinatorial theory. VIII: Finite operator calculus
cites work: Q4093447
cites work: Q5665275
cites work: Some operational formulas
cites work: Q3262342
cites work: The Pincherle basis problem and a theorem of Boas
cites work: Proper bases and linear homeomorphisms in spaces of analytic functions
cites work: The Paley-Wiener theorem in metric linear spaces
cites work: On the behavior of Pincherle basis functions
cites work: Zur Umkehrung „periodischer” Operatoren
cites work: Iterative Berechnung der <scp>Tschebyscheff</scp>schen Alternante für quadratische Polynome
cites work: Q3245380
cites work: Asymptotische Entwicklung einer Klasse von Integralen
cites work: Q3267542
cites work: Q5669342
cites work: Evaluation of the Excessive Initial Values in the Twodimensional Operational Calculus
cites work: Iterationen von beliebiger Ordnung
cites work: Q4042105
cites work: Q5337488
cites work: Über gewisse Polynome von TRICOMI
cites work: Q5520356
cites work: Q4402823
cites work: Über die Struktur der Lösungen homogener Operatorgleichungen
cites work: Zur Operatorenrechnung für Funktionen einer diskreten Veränderlichen
cites work: Q4096978
cites work: Elementary Evaluation of ζ(2n)
cites work: Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
cites work: Q4090406
cites work: Periodic analogues of the Euler-Maclaurin and Poisson summation formulas with applications to number theory
cites work: Algebra of formal power series
cites work: Combinatorial remarks on partitions of a multipartite number
cites work: Formal solution of nonlinear simultaneous equations: Reversion of series in several variables
cites work: Continuous Analogues of Series
cites work: Polynomials Defined by Generating Relations
cites work: On Generalized Averaging Operators
cites work: Exponential Transforms and Appell Polynomials
cites work: Q4059204
cites work: Generalized Appell connection sequences. II
cites work: On \(k\)-th roots in power series rings
cites work: Appell Polynomial Expansions and Biorthogonal Expansions in Banach Spaces
cites work: Isomorphism Theorems for Infinite Order Differential Operators
cites work: Polynomial Calculus with D-Like Operators
cites work: Q3227715
cites work: The Coefficients of sinh x/sin x
cites work: The Number of Coloured Graphs
cites work: Some arithmetic properties of the Olivier functions
cites work: Q4093446
cites work: A Theorem on Differential Operators
cites work: Q3282044
cites work: Tangent numbers and operators
cites work: A binomial identity related to ballots and trees
cites work: Eulerian Numbers and Polynomials
cites work: Note on the Integral of the Product of Several Bernoulli Polynomials
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