منابع مشابه
Investigating Fubini and Bell Polynomials with Euler-Seidel Algorithm
This work is based on EulerSeidel matrices ([8]) which is related to algorithms, combinatorics and generating functions. This method is quite useful to investigate properties of some special numbers and polynomials. In this work we use this method to find out some interesting results of Fubini and Bell polynomials and numbers. Although some results are known in this paper, this method provides ...
متن کاملSome identities of degenerate Fubini polynomials arising from differential equations
Recently, Kim et al. have studied degenerate Fubini polynomials in [T. Kim, D. V. Dolgy, D. S. Kim, J. J. Seo, J. Nonlinear Sci. Appl., 9 (2016), 2857–2864]. Jang and Kim presented some identities of Fubini polynomials arising from differential equations in [G.-W. Jang, T. Kim, Adv. Studies Contem. Math., 28 (2018), to appear]. In this paper, we drive differential equations from the generating ...
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The main result of this paper is to calculate the Batalin-Vilkovisky structure of HH∗(C∗(KPn;R);C∗(KPn;R)) for K = C andH, and R = Z and any field; and shows that in the special case when M = CP 1 = S2, and R = Z, this structure can not be identified with the BV-structure of H∗(LS 2;Z) computed by Luc Memichi in [16]. However, the induced Gerstenhaber structures are still identified in this cas...
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Inspired by Wilmshurst’s conjecture, W. Li and A. Wei (2009) initiated a probabilistic study concerning the zeros of harmonic polynomials. They derived a Kac-Rice type formula for the expected number of zeros of random harmonic polynomials p(z) + q(z) with independent Gaussian coefficients. They also provided asymptotics in the case when p and q are sampled independently from the the (complex) ...
متن کاملThe truncated exponential polynomials, the associated Hermite forms and applications
We discuss the properties of the truncated exponential polynomials and develop the theory of new form of Hermite polynomials, which can be constructed using the truncated exponential as a generating function. We derive their explicit forms and comment on their usefulness in applications, with particular reference to the theory of flattened beams, used in optics.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2019
ISSN: 2227-7390
DOI: 10.3390/math7050431