In mathematics before the 1970s, the term umbral calculus referred to the surprising similarity between seemingly unrelated polynomial equations and… (More)

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2013

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

- 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… (More)

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2008

2008

- Anatoly N. Kochubei
- 2008

An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type… (More)

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2008

2008

- 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… (More)

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2007

2007

- 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… (More)

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2002

2002

Umbral Calculus can provide exact solutions to a wide range of linear recursions. We summarize the relevant theory and give a… (More)

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2001

2001

- 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… (More)

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1996

1996

- Alex Dimakis
- 1996

Umbral calculus’ deals with representations of the canonical commutation relations. We present a short exposition of it and… (More)

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1996

1996

Modern umbral calculus is steadily approaching maturity, as applications develop in several areas of mathematics. To maximize… (More)

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1995

1995

In this paper we use the Umbral Calculus to investigate the relation between natural exponential families and Sheeer polynomials… (More)

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