Results 101 to 110 of about 416 (164)
Umbral Calculus and Cancellative Semigroup Algebras
Zeitschrift für Analysis und ihre Anwendungen, 2000 We describe some connections between three different fields: combinatorics (umbral calculus), functional analysis (linear functionals and operators) and harmonic analysis (convolutions on group-like structures).
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A selected survey of umbral calculus [PDF]
, 1995 We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite differences) from its roots in the 19th century (and earlier) as a set of magic rules for lowering and raising indices, through its rebirth in the 1970 ...
Di Bucchianico, A. +4 more
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A note on poly-Bernoulli polynomials arising from umbral calculus [PDF]
, 2013 In this paper, we give some recurrence formula and new and interesting 732 Dae San Kim, Taekyun Kim and Sang-Hun Lee identities for the poly-Bernoulli numbers and polynomials which are derived from umbral ...
Dae San Kim, Sang-Hun Lee, Taekyun Kim
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, 1995 We are developing a Maple package of functions related to Rota's Umbral Calculus. A Mathematica version of this package is being developed in parallel.
Bottreau, A. +2 more
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Umbral presentations for polynomial sequences [PDF]
, 2001 Using random variables as motivation, this paper presents an exposition of formalisms developed in [1,2] for the classical umbral calculus. A new construction and a variety of examples are presented, culminating in several descriptions of sequences of ...
B.D. Taylor, Taylor, B.D.
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Modified Apostol-type polynomials arising from umbral calculus [PDF]
, 2014 In this paper, by using the orthogonality type as defined in the umbral calculus, we derive an explicit formula for several well-known polynomials as a linear combination of the modified Apostol-type ...
Simsek, Yılmaz +2 more
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Umbral calculus, difference equations and the discrete Schrodinger equation [PDF]
, 2004 In this paper, we discuss umbral calculus as a method of systematically discretizing linear differential equations while preserving their point symmetries as well as generalized symmetries.
Decio Levi +5 more
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Novel identities involving Genocchi numbers and polynomials arising from applications of umbral calculus [PDF]
, 2014 The aim of this paper is to deal with applications of umbral calculus on fermionic p-adic integral on Z(p). From those applications, we derive some new identities on Genocchi numbers and polynomials.
Araci, Serkan
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Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
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A New Approach to Multivariate q-Euler Polynomials Using the Umbral Calculus [PDF]
, 2014 We derive numerous identities for multivariate q- Euler polynomials by using the umbral ...
Araci, Serkan +3 more
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