Results 61 to 70 of about 1,310,996 (291)
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
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On the Connection Between Stirling Numbers and Bessel Numbers [PDF]
We present new proofs for some summation identities involving Stirling numbers of both first and second kind. The two main identities show a connection between Stirling numbers and Bessel numbers. Our method is based on solving a particular recurrence relation in two different ways and comparing the coefficients in the resulting polynomial expressions.
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ABSTRACT In an era of rising geopolitical tensions and environmental instability, corporate political activities have become increasingly intertwined with ethical challenges and sustainability requirements. This study investigates the influence of environmental dynamics and corporate ethical responsibility on interorganizational conflict and ...
David Yulong Liu +4 more
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On the maximum of r-Stirling numbers
\textit{A. Z. Broder} [Discrete Math. 49, 241--259 (1984; Zbl 0535.05006)] extensively studied \(r\)-Stirling numbers, which seem to have been introduced by Carlitz. By definition, the \(r\)-Stirling number of the first kind, \({n \brack m}_r\) counts the number of permutations of \(\{1,2,\ldots,n\}\) with \(m\) cycles, where the numbers \(1,2,\ldots,r\
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ABSTRACT The growing emphasis on sustainability has prompted companies to engage with stakeholders in addressing environmental and social challenges. This paper investigates how companies and stakeholders co‐create value through a collaborative and iterative process that facilitates the formulation and implementation of sustainable strategies.
Meryem Altaf +3 more
wiley +1 more source
On stirling numbers of the second kind
AbstractWe first find inequalities between the Stirling numbers S(n, r) for fixed n, then introduce functions L and U such that L(n, r)≤S(n, r)≤U(n, r), and finally obtain the asymptotic value n/log n for the value of r for which S(n, r) is maximal.
Rennie, B.C., Dobson, A.J.
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Αυτή είναι μια διπλωματική εργασία στα Διακριτά Μαθηματικά με τίτλο: «Αριθμοί Catalan και Stirling» όπου εξετάζονται εκτενώς οι αριθμοί Catalan και οι αριθμοί Stirling α’ και β’ είδους.
Dede, Georgia, S. +1 more
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Abstract Development of therapeutic bispecific antibodies (BsAbs) poses significant manufacturability challenges associated with correct chain pairing and an increased diversity of impurities. Here we address this with a product quality assessment during cell line development (CLD), forgoing the need for genetic characterization during cell line ...
Molly Robinson +7 more
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λ-Analogues of Stirling polynomials of the first kind and their applications
Recently, λ-analogues of Stirling numbers of the first kind were studied. In this paper, we introduce, as natural extensions of these numbers, λ-Stirling polynomials of the first kind and r-truncated λ-Stirling polynomials of the first kind.
Taekyun Kim +3 more
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Poly-falling factorial sequences and poly-rising factorial sequences
In this paper, we introduce generalizations of rising factorials and falling factorials, respectively, and study their relations with the well-known Stirling numbers, Lah numbers, and so on.
Kim Hye Kyung
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