Results 21 to 30 of about 173 (44)
Set maps, umbral calculus, and the chromatic polynomial [PDF]
, 2007 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 polynomial ...
Wiseman, Gus
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Umbral Methods and Harmonic Numbers
Axioms, 2018 The theory of harmonic-based functions is discussed here within the framework of umbral operational methods. We derive a number of results based on elementary notions relying on the properties of Gaussian integrals.
Giuseppe Dattoli +3 more
doaj +1 more source
On Three General q, w- Apostol Polynomials and their Connection to q, w- Power Sums
, 2019 The purpose of this article is to continue our study of q, ω-special functions, in particular three general q, ω-Apostol polynomials, which contain an extra parameter λ.
T. Ernst
semanticscholar +1 more source
The largest singletons of set partitions [PDF]
, 2010 Recently, Deutsch and Elizalde studied the largest and the smallest fixed points of permutations. Motivated by their work, we consider the analogous problems in set partitions.
Sun, Yidong, Wu, Xiaojuan
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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
doaj +1 more source
, 2010 In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.
Hasebe, Takahiro, Saigo, Hayato
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Cumulants and convolutions via Abel polynomials [PDF]
, 2010 We provide an unifying polynomial expression giving moments in terms of cumulants, and viceversa, holding in the classical, boolean and free setting. This is done by using a symbolic treatment of Abel polynomials.
Di Nardo, E., Petrullo, P., Senato, D.
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Some identities related to reciprocal functions [PDF]
, 2003 The concept of Riordan array is used on reciprocal functions, and some identities involving binomial numbers, Stirling numbers and many other special numbers are ...
Wang, Tianming, Zhao, Xiqiang
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Recurrence relations for the Sheffer sequences [PDF]
, 2012 In this paper, using the production matrix of an exponential Riordan array [g(t),f(t)], we give a recurrence relation for the Sheffer sequence for the ordered pair (g(t),f(t)).
Yang, Sheng-liang
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On the computation of classical, boolean and free cumulants
, 2008 This paper introduces a simple and computationally efficient algorithm for conversion formulae between moments and cumulants. The algorithm provides just one formula for classical, boolean and free cumulants.
Di Nardo, E., Oliva, I.
core +2 more sources