Zobrazeno 1 - 10
of 1 551
pro vyhledávání: '"bell polynomials"'
Publikováno v:
Mathematical and Computer Modelling of Dynamical Systems, Vol 30, Iss 1, Pp 523-542 (2024)
Assume that [Formula: see text] is a random variable whose moment generating function exists in a neighbourhood of the origin. In this paper, we study the probabilistic degenerate central Bell polynomials associated with [Formula: see text], as proba
Externí odkaz:
https://doaj.org/article/96ef0fd5d6ad4069940ccc5944bdba3f
Publikováno v:
Journal of Mahani Mathematical Research, Vol 13, Iss 2, Pp 121-139 (2024)
In this paper, an operational matrix method based on the Bell polynomials has been presented to find approximate solutions of high-order Volterra integro-differential equations. This method uses a simple computational manner to obtain a quite accepta
Externí odkaz:
https://doaj.org/article/55b6995ff6b244199dc055ece00a5d03
Autor:
Laskin, Nick
Publikováno v:
In Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena September 2024 186
Autor:
Aimin Xu
Publikováno v:
AIMS Mathematics, Vol 9, Iss 1, Pp 2051-2062 (2024)
In this paper two kinds of identities involving derangement polynomials and $ r $-Bell polynomials were established. The identities of the first kind extended the identity on derangement numbers and Bell numbers due to Clarke and Sved and its general
Externí odkaz:
https://doaj.org/article/5b02ca0dcb11477b8c422a26d486b2ea
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
Recently, Kim-Kim introduced the truncated degenerate Bell polynomials and numbers. In this paper, we introduce the truncated Lah-Bell polynomials and numbers. We obtain some identities, recurrence relations and properties. Furthermore, we also intro
Externí odkaz:
https://doaj.org/article/11d77010b0de4f5883c3bd97f4c1f14e
Publikováno v:
AIMS Mathematics, Vol 8, Iss 11, Pp 25957-25965 (2023)
For any positive integer $ r $, the $ r $-truncated (or $ r $-associated) Stirling number of the second kind $ S_{2}^{(r)}(n, k) $ enumerates the number of partitions of the set $ \{1, 2, 3, \dots, n\} $ into $ k $ non-empty disjoint subsets, such th
Externí odkaz:
https://doaj.org/article/4750818904de47b2b807577f9ee488df
Akademický článek
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Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomial
Externí odkaz:
https://doaj.org/article/1a69ad68923b4e2bbc36908397e3149d
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials. This paper is
Externí odkaz:
https://doaj.org/article/7fc59d597878471fbf1ef35e345b31b9
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 31, Iss 1 (2023)
It is remarkable that, in recent years, intensive studies have been done for degenerate versions of many special polynomials and numbers and have yielded many interesting results. The aim of this paper is to study the generalized degenerate $ (r,s) $
Externí odkaz:
https://doaj.org/article/6afe9a0d30e8411ca7b5ad43f7aaac87