Results 111 to 120 of about 3,259 (178)

Linear Approximation Processes Based on Binomial Polynomials

Mathematics
The purpose of the article is to highlight the role of binomial polynomials in the construction of classes of positive linear approximation sequences on Banach spaces.
Octavian Agratini, Maria Crăciun
doaj   +1 more source

A selected survey of umbral calculus

The Electronic Journal of Combinatorics, 1995
Summary: We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite difference) 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's as Rota's school set it on a firm logical foundation using operator methods, to the ...
Di Bucchianico, A., Loeb, D.
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Korobov polynomials of the third kind and of the fourth kind. [PDF]

Springerplus, 2015
Kim T, Kim DS.
europepmc   +1 more source

An explicit form of the polynomial part of a restricted partition function. [PDF]

Res Number Theory, 2017
Dilcher K, Vignat C.
europepmc   +1 more source

Generalized Bernstein Polynomials and Bézier Curves: An Application of Umbral Calculus to Computer Aided Geometric Design

, 2001
Rudolf Winkel
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Operational method of solution of linear non-integer ordinary and partial differential equations. [PDF]

Springerplus, 2016
Zhukovsky KV.
europepmc   +1 more source

Superstatistics in nanoscale electrochemical systems. [PDF]

Proc Natl Acad Sci U S A, 2011
García-Morales V, Krischer K.
europepmc   +1 more source

Operational Umbral Calculus

In this paper, we explore the effectiveness of almost purely operational methods in the study of umbral calculus. To accomplish this goal, we systematically reconstruct the theory operationally, offering new proofs and results throughout. Our approach is applied to the study of invertible power series, where we notably offer a concise two-line proof of
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The Euler Equations of Problems of the Calculus of Variations with Prescribed Transversality Conditions. [PDF]

Proc Natl Acad Sci U S A, 1931
La Paz L.
europepmc   +1 more source

On extended umbral calculus, oscillator-like algebras and Generalized Clifford Algebra

, 2004
A. K. Kwaśniewski
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