Results 111 to 120 of about 159,564 (166)
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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, 2017 We develop a new method of umbral nature to treat blocks of Her mite and of Hermite like poly- nomials as independent algebraic quantities. The Calculus we propose allows the formulation of a number of ”practical rules” allowing significant ...
Licciardi, Silvia +7 more
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Quantum mechanics and umbral calculus
Journal of Physics: Conference Series, 2008 In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea is to discretize the continuous Schroedinger equation substituting the continuous derivatives by discrete ones and the space-time continuous variables by well determined operators that verify some Umbral Calculus conditions ...
Lopez-Sendino, E. +3 more
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Modified Apostol-type polynomials arising from umbral calculus
, 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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Heisenberg algebra, umbral calculus and orthogonal polynomials
, 2008 Umbral calculus can be viewed as an abstract theory of the Heisenberg commutation relation [(P) over cap,(M) over cap]=1. In ordinary quantum mechanics, (P) over cap is the derivative and (M) over cap the coordinate operator.
G. Dattoli +5 more
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, 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, Aracı, Serkan
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A note on poly-Bernoulli polynomials arising from umbral calculus
, 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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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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Rook theory. V rook polynomials, Möbius inversion and the umbral calculus
, 1976 In this paper we provide the first general expressions for the rook and factorial polynomials associated with a general board. We use Möbius inversion over the lattice of partitions of a set to provide explicit formulas.
White, Dennis E +2 more
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Umbral calculus, difference equations and the discrete Schrodinger equation
, 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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