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Gut microbiota: a new factor modulating the immunizing potential of viral and cancer vaccines

Zitvogel L, Carrier A, Manghi P, Silva CAC, Lahmar I, Birebent R, Suissa D, Laheurte C, Schreibelt G, Lemant L, FAHRNER J, de Sousa E, Berthier F, Villemonteix J, Chevalier M, Piccinno G, Hocquet D, Lebhar I, Maeurer M, Caillat-Zucman S, Kroemer G, Derosa L, Launay O, Golden E, Bol K, De Vries IJM, Adotévi O, Segata N, Formenti S, Kobold S, Pieper D, Vital M, Santos-Peral A, Zaucha M, García-Bengoa M, Thorn-Seshold J, Stirling H, Rothenfusser S, Iebba V, Almonte A, Ajami N, White M, Sahasrabhojane P, Hoballah Y, Losh J, DePinho C, Dondossola E, Wargo J.   +47 more
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A Formula for the Stirling Numbers of the Second Kind

The American Mathematical Monthly, 2020
The Stirling number of the second kind S(n, k) is the number of partitions of {1,2,…,n} into k parts and is given by the following explicit formula: (1) S(n,k)=1k!∑j=0k(−1)k−j(kj)jn.
Gao-Wen Xi, Qiu-Ming Luo
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On equal values of Stirling numbers of the second kind

Applied Mathematics and Computation, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
J. Ferenczik, Ákos Pintér, B. Porvázsnyik   +2 more
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The (r1,...,rp)-Stirling Numbers of the Second Kind

Integers, 2012
Abstract ...
Miloud Mihoubi 0002, Mohammed Said Maamra   +1 more
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A combinatorial generalization of the Stirling Numbers of the second kind

ICECS 2001. 8th IEEE International Conference on Electronics, Circuits and Systems (Cat. No.01EX483), 2002
A combinatorial generalization of the Stirling Numbers of the second kind is presented as the number of partitions of a set with n elements in m subsets with at least c elements each. An equivalence with a previous definition is discussed. Combinatorial properties and a recursive relation are obtained.
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Some applications of the stirling numbers of the first and second kind

Journal of Applied Mathematics and Computing, 2014
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Masjed-Jamei, Mohammad, Jafari, M., Srivastava, H.   +2 more
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On the Location of the Maximum Stirling Number(s) of the Second Kind

Studies in Applied Mathematics, 1978
Let S(n, k) denote Stirling numbers of the second kind, and Kn be the integer(s) such that S(n, Kn) ⩾ S(n, k) for all k. We determine the value(s) of Kn to within a maximum error of 1.
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Exponential Hilbert series and the Stirling numbers of the second kind

Discrete Mathematics, 2018
Given a graded algebra \(A\), with homogeneous components \(A_n,\;n\in\mathbb{N}\), its exponential Hilbert series is defined to be the formal power series \[ E_A(q)=\sum_{n\geq 0}\dim (A_n)\frac{q^n}{n!}. \] Let \(G\) be a semisimple, simply connected linear algebraic group over \(\mathbb{C}\), and fix a choice of Borel subgroup \(B\) inside a ...
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A generalization of a binomial sum for the Stirling numbers of the second kind

Ars Comb., 2015
313
Luis Gonzalez, Angelo Santana
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