Results 111 to 120 of about 416 (164)

Extensions Of Umbral Calculus II: Double Delta Operators, Leibniz Extensions And Hattori-Stong Theorems [PDF]

, 1995
. We continue our programme of extending the Roman-Rota umbral calculus to the setting of delta operators over a graded ring E with a view to applications in algebraic topology and the theory of formal group laws.
Francis Clarke, John Hunton, Nigel Ray
core  

Umbral Theory and the Algebra of Formal Power Series

Axioms
Umbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
doaj   +1 more source

Coalition structure generation in task-based settings [PDF]

, 2006
The coalition formation process, in which a number of independent, autonomous agents come together to act as a collective, is an important form of interaction in multi-agent systems. However, one of the main problems that hinders the wide spread adoption
Jennings, N. R., Dang, VD, Jennings, NR, Dang, V.D.   +3 more
core  

Cellular Signaling Networks Function as Generalized Wiener-Kolmogorov Filters to Suppress Noise

Physical Review X, 2014
Cellular signaling involves the transmission of environmental information through cascades of stochastic biochemical reactions, inevitably introducing noise that compromises signal fidelity.
Michael Hinczewski, D. Thirumalai
doaj   +1 more source

Set maps, umbral calculus, and the chromatic polynomial [PDF]

, 2005
Some important properties of the chromatic polynomial also hold for any polynomial set map satisfying p_S(x+y)=\sum_{T\uplus U=S}p_T(x)p_U(y). Using umbral calculus, we give a formula for the expansion of such a set map in terms of any ...
Wiseman, Gus
core  

Umbral presentations for polynomial sequences. [PDF]

, 1999
Using random variables as motivation, this paper presents an exposition of formalisms developed in [RT1, RT2] for the classical umbral calculus. Avariety of examples are presented, culminating in several descriptions of sequences of binomial type in ...
Brian D. Taylor
core  

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

Korobov polynomials of the third kind and of the fourth kind. [PDF]

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

Extensions of umbral calculus II: double delta operators and Hattori-Stong theorems [PDF]

, 1995
. We continue our programme of extending the Roman-Rota umbral calculus to the setting of delta operators over a graded ring E∗ with a view to applications in algebraic topology and the theory of formal group laws. We concentrate on the situation where E
Francis Clarke, John Hunton, Nigel Ray
core  

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