Results 121 to 130 of about 159,564 (166)
Umbral Theory and the Algebra of Formal Power Series
AxiomsUmbral 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
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Set maps, umbral calculus, and the chromatic polynomial
, 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
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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
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Umbral presentations for polynomial sequences.
, 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
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The Umbral-Algebraic Approach to Study the General Appell–λ Polynomials
MathematicsWe introduce and comprehensively study a new class of hybrid special polynomials in three variables, which we call the three-variable general-Appell–λ polynomials, which are denoted as λnPA(u,v,w:β).
Waseem Ahmad Khan +5 more
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Korobov polynomials of the third kind and of the fourth kind. [PDF]
Springerplus, 2015 Kim T, Kim DS.
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, 2017 In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral calculus.
Araci, Serkan +9 more
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An explicit form of the polynomial part of a restricted partition function. [PDF]
Res Number Theory, 2017 Dilcher K, Vignat C.
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Linear Approximation Processes Based on Binomial Polynomials
MathematicsThe 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
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