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Umbral calculus
Known as:
Umbral Operator
, Umbral algebra
In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and…
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Wikipedia
Topic mentions per year
Topic mentions per year
1976-2017
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6
1976
2017
Related topics
Related topics
16 relations
Abel polynomials
Appell sequence
Bernoulli polynomials
Binomial type
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Related mentions per year
Related mentions per year
1940-2018
1940
1960
1980
2000
2020
Umbral calculus
Polynomial
Recursion
Finite difference
Hermite polynomials
Bernoulli polynomials
Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2013
2013
Poly-Cauchy Numbers and Polynomials with Umbral Calculus Viewpoint
Dae San Kim
,
Taekyun Kim
,
Sang-Hun Lee
2013
In this paper, we give some interesting identities of poly-Cauchy numbers and polynomials arising from umbral calculus.
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2008
2008
The classical umbral calculus: Sheffer sequences
Elvira Di Nardo
2008
Following the approach of Rota and Taylor [17], we present an innovative theory of Sheffer sequences in which the main properties…
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2008
2008
Umbral Calculus in Positive Characteristic
Anatoly N. Kochubei
2008
An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type…
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2008
2008
Quantum mechanics and umbral calculus
J E López-Sendino
2008
In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea…
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2007
2007
Baxter Algebras and the Umbral Calculus
Li xinwu Guo
2007
We apply Baxter algebras to the study of the umbral calculus. We give a characterization of the umbral calculus in terms of…
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2002
2002
Rota’s Umbral Calculus and Recursions
Heinrich Niederhausen
,
Heinrich Niederhausen
2002
Umbral Calculus can provide exact solutions to a wide range of linear recursions. We summarize the relevant theory and give a…
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2001
2001
Applications of the Classical Umbral Calculus
Ira M. Gessel
2001
ai. Blissard’s notation has been known variously as Lucas’s method, the symbolic method (or symbolic notation), and the umbral…
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1996
1996
Umbral Calculus, Discretization, and Quantum Mechanics on a Lattice
Alex Dimakis
1996
Umbral calculus’ deals with representations of the canonical commutation relations. We present a short exposition of it and…
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1996
1996
Universal Constructions in Umbral Calculus
Nigel Ray
,
Brian Taylor
,
Cristian Lenart
1996
Modern umbral calculus is steadily approaching maturity, as applications develop in several areas of mathematics. To maximize…
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1995
1995
Natural Exponential Families with Polynomial Variance Function and Umbral Calculus
A. Di Bucchianico
1995
In this paper we use the Umbral Calculus to investigate the relation between natural exponential families and Sheeer polynomials…
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