Results 141 to 150 of about 1,334 (164)

The Arithmetic of Bell and Stirling Numbers

American Journal of Mathematics, 1948
Symbolic methods are used to obtain many of the properties of the Bell and Stirling numbers [cf. \textit{E. T. Bell}, Am. J. Math. 61, 89--101 (1939; Zbl 0020.10402)] modulo \(p\), a prime.
Becker, H. W., Riordan, John
exaly   +2 more sources

Degenerate r-Stirling Numbers and r-Bell Polynomials

Russian Journal of Mathematical Physics, 2018
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D S Kim, Yonghong Yao, Kim D S
exaly   +2 more sources

Stirling and Bell Numbers

2015
exaly   +3 more sources

Stirling, bell, bernoulli, euler and eulerian numbers

2004
J Sándor
exaly   +2 more sources

Degenerate Stirling numbers and a family of Bell polynomials

MATHEMATICA, 2022
In this paper, we employ generating functions' techniques to obtain some identities involving degenerate Bell polynomials, multivariate Bell polynomials, and Carlitz degenerate Stirling numbers. Moreover, we obtain some formulas related to an explicit representation and recurrence relations for Lah polynomials.
Madjid Sebaoui, Ghania Guettai, Difalah Laissaoui, Mourad Rahmani   +3 more
openaire   +1 more source

The local central limit theorem for Stirling numbers of the second kind and an estimate for bell numbers

Lecture Notes in Mathematics, 1981
exaly   +2 more sources

EVOLUTIONARY MATHEMATICS AND SCIENCE FOR GENERAL FAMOUS NUMBERS: STIRLING-EULER-LAH-BELL

2021
We first introduce Pascal, Stirling, Eulerian, Lah and Bell numbers via sorting, then generalize Stirling numbers of both kinds [■(n@k)], {■(n@k)}, Eulerian numbers of two orders 〈■(n@k)〉, 〈〈■(n@k)〉 〉, Lah numbers L(n,k)=∑_(j=1)^n▒[■(n@j)] {■(j@k)} and ∑_(k=0)^(n-1)▒〖2^k 〈■(n@k)〉 〗=∑_(k=1)^n▒(∑_(j-1)^(k+1)▒[■(k+1@j)] ){■(n@k)} , the right-hand side of ...
Chang, Leon, Tsao, Hung-ping, Wang, Lawrence K   +2 more
openaire   +1 more source

Normal ordering for nonlinear deformed ladder operators and the f-generalization of the Stirling and Bell numbers

Journal of Mathematical Physics, 2015
We resolve the normal ordering problem for symmetric (Dˆ+Dˆ−)n and asymmetric (Dˆ+rDˆ−)n strings of the nonlinear deformed ladder operators Dˆ± for supersymmetric and shape-invariant potential systems, where r and n are positive integers. We provide exact and explicit expressions for their normal forms N{(Dˆ+Dˆ−)n} and N{(Dˆ+rDˆ−)n}, where in N ...
A. N. F. Aleixo, A. B. Balantekin
openaire   +1 more source

BELL, BERNOULLI, CAUCHY, HARMONIC AND STIRLING NUMBERS

Algebras Groups and Geometries, 2023
S. Vidal-Beltran, M. Muniru Iddrisu, A. Hernandez-Galeana, J. Lopez-Bonilla   +3 more
openaire   +1 more source

Generalizations of Stirling-like and Bell-like Numbers

2023
Eszter Gyimesi, Gábor Nyul, Gabriella Rácz   +2 more
openaire   +1 more source