Results 51 to 60 of about 2,420 (241)
On Degenerate Truncated Special Polynomials
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special proof ...
Ugur Duran, Mehmet Acikgoz
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On the 2-adic order of Stirling numbers of the second kind and their differences [PDF]
Let $n$ and $k$ be positive integers, $d(k)$ and $\nu_2(k)$ denote the number of ones in the binary representation of $k$ and the highest power of two dividing $k$, respectively.
Tamás Lengyel
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Asymptotics of the Stirling numbers of the second kind revisited
Using the Saddle point method and multiseries expansions, we obtain from the generating function of the Stirling numbers of the second kind {n / m} and Cauchy's integral formula, asymptotic results in central and non-central regions. In the central region, we revisit the celebrated Gaussian theorem with more precision. In the region m = n -
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An identity for Stirling numbers of the second kind
We obtain an identity satisfied by the Stirling numbers of the second kind.Kathmandu University Journal of Science, Engineering and TechnologyVol. 13, No.
O. Salas-Torres +2 more
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Heat Load Mitigation Studies in the W7‐X Stellarator Experiment
ABSTRACT During the experiments at the stellarator Wendelstein 7‐X (W7‐X) with fully water‐cooled plasma‐facing components (PFC), including carbon‐fiber composite (CFC) divertor targets with a thermal load capability of 10 MW/m2, high performance was achieved.
Dirk Naujoks +11 more
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Evaluation of cauchy polynomials via degenerate r-Stirling numbers
In this paper, within the framework of unsigned degenerate [Formula: see text]-Stirling numbers, we establish connections among Cauchy polynomials, degenerate Bernoulli polynomials, and degenerate hyperharmonic numbers.
Zhuoyu Chen +4 more
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Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays
ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
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In this paper, by means of p-adic Volkenborn integrals we introduce and study two different degenerate versions of Bernoulli polynomials of the second kind, namely partially and fully degenerate Bernoulli polynomials of the second kind, and also their ...
Lee-Chae Jang +3 more
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Refinements of the Bell and Stirling numbers [PDF]
We introduce new refinements of the Bell, factorial, and unsigned Stirling numbers of the first and second kind that unite the derangement, involution, associated factorial, associated Bell, incomplete Stirling, restricted factorial ...
Tanay Wakhare
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Psychological Contracts With Purpose: A Review and Path Forward
ABSTRACT This review advances the understanding of psychological contracts (PCs) that include third‐party beneficiaries and transcend self‐interested goals, which we term “PCs with purpose.” PC theory has challenged the assumption that social exchange relies solely on balanced rewards and inducements, highlighting that individuals may wish to ...
Marjo‐Riitta Diehl +2 more
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