Results 61 to 70 of about 147,953,414 (272)
ON (q, r, w)-STIRLING NUMBERS OF THE SECOND KIND
, 2018 In this paper, we introduce a new generalization of the r-Stirling numbers of the second kind based on the q-numbers via an exponential generating function.
Araci, Serkan +2 more
core +1 more source
Evaluation of cauchy polynomials via degenerate r-Stirling numbers
Mathematical and Computer Modelling of Dynamical SystemsIn 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
doaj +1 more source
Three Representations for Set Partitions
IEEE Access, 2021 The Set Partitioning Problem (SPP) aims to obtain non-empty disjoint subsets of objects such that their union equals the whole set of objects, and the partition meets some prespecified criteria.
Jose Torres-Jimenez +4 more
doaj +1 more source
Asymptotics of the Stirling numbers of the second kind revisited
Applicable Analysis and Discrete Mathematics, 2013 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 -
openaire +3 more sources
Business Strategy and the Environment, EarlyView.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
wiley +1 more source
Advances in Difference Equations, 2020 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
doaj +1 more source
A note on infinite series whose terms involve truncated degenerate exponentials
Applied Mathematics in Science and Engineering, 2023 The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms.
Dae San Kim, Hyekyung Kim, Taekyun Kim
doaj +1 more source
Business Strategy and the Environment, EarlyView.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
Ordinary and degenerate Euler numbers and polynomials
Journal of Inequalities and Applications, 2019 In this paper, we study some identities on Euler numbers and polynomials, and those on degenerate Euler numbers and polynomials which are derived from the fermionic p-adic integrals on Zp $\mathbb{Z}_{p}$.
Taekyun Kim +3 more
doaj +1 more source
Refinements of the Bell and Stirling numbers [PDF]
Transactions on Combinatorics, 2018 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
doaj +1 more source