On r-Central Incomplete and Complete Bell Polynomials
, 2019 Here we would like to introduce the extended r-central incomplete and complete Bell polynomials, as multivariate versions of the recently studied extended r-central factorial numbers of the second kind and the extended r-central Bell polynomials, and ...
Dae San Kim +3 more
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On Stirling and bell numbers of order 1/2
FilomatThe Stirling numbers of order 1/2 (of the second kind) introduced by Katugampola are discussed and it is shown that they are given by a scaled subfamily of the generalized Stirling numbers introduced by Hsu and Shiue. This allows to deduce in a straightforward fashion many properties of the Stirling and Bell numbers of order 1/2, for ...
openaire +1 more source
An explicit formula for computing Bell numbers in terms of Lah and Stirling numbers
, 2014 3 ...
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The Boson normal ordering problem and generalized Bell numbers
, 2003 For any function F(x) having a Taylor expansion we solve the boson normal ordering problem for $F[(a^\dag)^ra^s]$, with r, s positive integers, $[(a, a^\dag]=1$, i.e., we provide exact and explicit expressions for its normal form $\mathcal{N} \{F[(a^\dag)
Penson, K.A. +5 more
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Zeros distribution and interlacing property for certain polynomial sequences
Open MathematicsIn this article, we first prove that the Hankel determinant of order three of the polynomial sequence {Pn(x)=∑k≥0P(n,k)xk}n≥0{\left\{{P}_{n}\left(x)={\sum }_{k\ge 0}P\left(n,k){x}^{k}\right\}}_{n\ge 0} is weakly (Hurwitz) stable, where P(n,k)P\left(n,k ...
Guo Wan-Ming
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Stirling Numbers Interpolation using Permutations with Forbidden Subsequences
, 2000 We present a family of number sequences which interpolates between the sequences Bn , of Bell numbers, and n!. It is defined in terms of permutations with forbidden patterns or subsequences.
G. Labelle +3 more
core
Bell Numbers of Complete Multipartite Graphs [PDF]
, 2016 The {\it Stirling number} $S(G;k)$ is the number of partitions of the vertices of a graph $G$ into $k$ nonempty independent sets and the number of all partitions of $G$ is its {\it Bell number}, $B(G)$.
Christopher Serkan, Julian Allagan
core
Making community pharmacies psychologically informed environments (PIE): a feasibility study to improve engagement with people using drug services in Scotland. [PDF]
Prim Health Care Res Dev, 2023 Matheson C +6 more
europepmc +1 more source
SHIFTING POWERS IN SPIVEY'S BELL NUMBER FORMULA. [PDF]
Quaest Math, 2022 Mansour T +3 more
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A congeneric and non-randomly associated pair of larval trematodes dominates the assemblage of co-infecting parasites in fathead minnows (<i>Pimephales promelas</i>). [PDF]
Parasitology, 2023 Hirtle SV, Ahn S, Goater CP.
europepmc +1 more source