Results 61 to 70 of about 50,310 (297)

Mixed r-Stirling numbers of the second kind

open access: yesOnline Journal of Analytic Combinatorics, 2016
The Stirling number of the second kind \( S(n, k) \) counts the number of ways to partition a set of \( n \) labeled balls into \( k \) non-empty unlabeled cells. We extend this problem and give a new statement of the \( r \)-Stirling numbers of the second kind and \( r \)-Bell numbers.
Yaqubi, Daniel   +2 more
openaire   +2 more sources

Diagonal recurrence relations for the Stirling numbers of the first kind [PDF]

open access: yes, 2015
In the paper, the author presents diagonal recurrence relations for the Stirling numbers of the first kind. As by-products, the author also recovers three explicit formulas for special values of the Bell polynomials of the second kind.Comment: 7 ...
Qi, Feng
core   +3 more sources

Maximum Stirling Numbers of the Second Kind

open access: yes, 2008
See the abstract in the attached ...
G. KEMKES   +2 more
openaire   +2 more sources

Generalized q-Stirling Numbers and Their Interpolation Functions

open access: yesAxioms, 2013
In this paper, we define the generating functions for the generalized q-Stirling numbers of the second kind. By applying Mellin transform to these functions, we construct interpolation functions of these numbers at negative integers.
Yilmaz Simsek   +2 more
doaj   +1 more source

Some identities of degenerate multi-poly-Changhee polynomials and numbers

open access: yesElectronic Research Archive, 2023
Recently, many researchers studied the degenerate multi-special polynomials as degenerate versions of the multi-special polynomials and obtained some identities and properties of the those polynomials.
Sang Jo Yun   +3 more
doaj   +1 more source

On the maximum of Stirling numbers of the second kind

open access: yesJournal of Combinatorial Theory, Series A, 1973
AbstractA technique is illustrated for finding an estimate of the Stirling numbers of the second kind, Sn, r(1 ⩽ r ⩽ n), as n → ∞, for a certain range of values of r. It is shown how the estimation can be found to any given degree of approximation. Finally, the location of the maximum of Sn, r (1 ⩽ r ⩽ n) and the value of the maximum are computed.
openaire   +2 more sources

Culture, Connection and Care: The Role of Institutional Justice Capital for Enhancing the Wellbeing of Aboriginal and Torres Strait Islander Children in Out‐Of‐Home Care

open access: yesAustralian Journal of Social Issues, EarlyView.
ABSTRACT Ensuring that Aboriginal and Torres Strait Islander children removed from their families by child protection services remain connected to their kin, Country and culture is a priority to begin to redress the intergenerational trauma and harm caused by colonisation.
Sharynne Hamilton   +9 more
wiley   +1 more source

Truncated Fubini Polynomials

open access: yesMathematics, 2019
In this paper, we introduce the two-variable truncated Fubini polynomials and numbers and then investigate many relations and formulas for these polynomials and numbers, including summation formulas, recurrence relations, and the derivative property.
Ugur Duran, Mehmet Acikgoz
doaj   +1 more source

Some identities related to degenerate r-Bell and degenerate Fubini polynomials

open access: yesApplied Mathematics in Science and Engineering, 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.
Taekyun Kim, Dae San Kim, Jongkyum Kwon
doaj   +1 more source

Dirichlet series and series with Stirling numbers

open access: yesCubo, 2023
This paper presents a number of identities for Dirichlet series and series with Stirling numbers of the first kind. As coefficients for the Dirichlet series we use Cauchy numbers of the first and second kinds, hyperharmonic numbers, derangement numbers ...
Khristo Boyadzhiev
doaj   +1 more source

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