Results 161 to 170 of about 51,714 (196)

A Multitude of Expressions for the Stirling Numbers of the First Kind

Integers, 2010
AbstractIt is shown that the Stirling numbers of the first kind can be expressed in the ...
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On asymptotic expansions of Stirling numbers of the first and second kinds

Discrete Mathematics and Applications, 1998
Let \(s(n,N)\), resp. \(\sigma(n,N)\) denote the Stirling numbers of the first, resp. the second kind. In the paper under review the author considers the asymptotic expansions of these numbers under the condition that \(n\), \(N\to\infty\) so that ...
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Some applications of the stirling numbers of the first and second kind

Journal of Applied Mathematics and Computing, 2014
By using the familiar Stirling numbers, we derive the explicit forms of the weighted Newton-Cotes integration formulas and the weighted Adams-Bashforth and Adams-Moulton rules in terms of the Stirling numbers of the first and second kind. Some illustrative examples involving the Fredholm integral equation of the second kind are also considered.
M. A. Jafari, Mohammad Masjed-Jamei, Hari M. Srivastava   +2 more
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On the Stirling numbers of the first kind arising from probabilistic and statistical problems [PDF]

Rendiconti del Circolo Matematico di Palermo, 1983
Some simple discrete probabilistic processes and a problem of statistical inference are indicated where occur, in a natural way, numberss (n, k) which are the absolute value of the Stirling numbers of the first kind. We propose that the following notation for the Stirling numbers of the first kind:\(\left( {x + n - 1} \right)_n = \sum\limits_{k = 0}^n {
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Product of Uniform Distribution and Stirling Numbers of the First Kind

Acta Mathematica Sinica, English Series, 2005
Let V k = u 1 u 2 ⋯ u k , u i 's be i.i.d ∼ U(0, 1), the p.d.f of 1−V k+1 be the GF of the unsigned Stirling numbers of ...
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Extended Stirling numbers of the first kind associated with Daehee numbers and polynomials

RACSAM, 2019
Taekyun Kim, Dae San Kim
semanticscholar   +2 more sources

The r-Stirling numbers of the first kind in terms of the Möbius function

The Ramanujan journal, 2020
C. Ballantine, M. Merca
semanticscholar   +1 more source

A Note on Stirling Numbers of the First Kind [PDF]

Mathematics Magazine, 1964
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Clinical management of metastatic colorectal cancer in the era of precision medicine

Ca-A Cancer Journal for Clinicians, 2022
Davide Ciardiello, Giulia Martini, Stefania Napolitano   +2 more
exaly  

The modular (r,s)-Stirling numbers of the first kind

Discret. Math. Algorithms Appl.
Bazeniar Abdelghafour, Moussa Ahmia
semanticscholar   +1 more source