Results 151 to 160 of about 157,023 (195)

Apostol-Euler polynomials arising from umbral calculus

open access: green, 2013
Taekyun Kim   +2 more
openalex   +2 more sources

UMBRAL CALCULUS

, 2021
Umbral calculus is a long-studied theory in combinatorics that provides methods for representing sequences and can lead to interesting results. We introduce the history of umbral calculus, from its shaky beginnings to its classical applications and ...
Andrew Chang
semanticscholar   +1 more source

The Classical Umbral Calculus

SIAM Journal on Mathematical Analysis, 1994
A rigorous presentation of the umbral calculus, as formerly applied heuristically by Blissard, Bell, Riordan, and others is given. As an application, the basic identities for Bernoulli numbers, as well as their generalizations first developed by Norlund are derived.
Gian-Carlo Rota, B. D. Taylor
openaire   +2 more sources

Umbral Calculus in Hilbert Space

1998
No abstract.
Alessandro Di Bucchianico   +2 more
openaire   +3 more sources

Some identities of the q-Laguerre polynomials on q-Umbral calculus

, 2017
Some interesting identities of Sheffer polynomials was given by Roman [11], [12]. In this paper, we study a q-analogue of Laguerre polynomials which are also q-Sheffer polynomials. Furthermore, we give some new properties and formulas of these q-Laguerre
R. Dere
semanticscholar   +1 more source

The umbral calculus on logarithmic algebras

Acta Applicandae Mathematicae, 1990
D. E. Loeb and G.-C. Rota, using the operator of differentiation D, constructed the logarithmic algebra that is the generalization of the algebra of formal Laurent series. They also introduced Appell graded logarithmic sequences and binomial (basic) graded logarithmic sequences as sequences of elements of the logarithmic algebra and extended the main ...
openaire   +2 more sources

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