Results 61 to 70 of about 51,130 (276)
Lagrange inversion and Stirling number convolutions [PDF]
, 2014 Recently Agoh and Dilcher proved a convolution identity involving Stirling numbers S(n, r) of the second kind. We prove an identity where S(n, r) is replaced by a more general doubly-indexed family A(n, r).
Chapman, Robin
core
Multisectioned moments of stirling numbers of the second kind
Journal of Combinatorial Theory, Series A, 1973 The Stirling number of the second kind, S(n, k), enumerates the ways that n distinct objects can be stored in k non-empty indistinguishable boxes. When k is restricted to a given residue class modulo μ, the moments of the distribution S(n, k) have properties associated with the Olivier functions of order μ evaluated at 1 and −1. The simplest example is
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Versatile Palladium‐Catalyzed C‐H Arylation of Fluoroarenes with 2‐Chloropyridine Derivatives
Chemistry – A European Journal, EarlyView.Direct C─H arylation of fluoroarenes with 2‐chloropyridines is enabled by a simple Pd/SPhos system in isopropyl acetate. The method uses inexpensive reactants and shows broad scope and high yields. DFT computations explain reactivity and selectivity.
Federico Belnome +6 more
wiley +1 more source
The Widening Scope of Just Transitions Research: A Review of an Emblematic Concept
Environmental Policy and Governance, EarlyView.ABSTRACT The attention paid to justice dimensions in societal change toward decarbonization and resilience is growing in sustainability governance and research. “Just transition” is emerging as an emblematic concept in these discussions, yet there has been limited systematic stock‐taking of the major strands of research in this area. This paper aims to
Victoria Wibeck +3 more
wiley +1 more source
AIMS MathematicsBy utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial ...
Aimin Xu
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, 2012 In the paper, the author establishes some identities which show that the functions $\frac1{(1-e^{\pm t})^k}$ and the derivatives $\bigl(\frac1{e^{\pm t}-1}\bigr)^{(i)}$ can be expressed each other by linear combinations with coefficients involving the ...
Andrews +5 more
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A note on stirling numbers of the second kind
Journal of Combinatorial Theory, 1968 AbstractFor fixed n, Stirling numbers of the second kind, S(n,r) have a single maximum.
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European Policy Analysis, EarlyView.ABSTRACT In response to renewed interest in analytical tools that address complex policy problems and move beyond linear‐rational approaches in policy appraisal, Social Multi‐Criteria Evaluation (SMCE) integrates participatory approaches with multi‐criteria analysis (MCA), thereby incorporating specialised knowledge and diverse social values and ...
Egle Basyte Ferrari
wiley +1 more source
Probabilistic multi-Stirling numbers of the second kind associated with random variables
Applied Mathematics in Science and EngineeringThis paper investigates a probabilistic extension of the multi-Stirling numbers of the second kind and a ‘poly' version of the probabilistic degenerate Lah-Bell polynomials.
Xiangjing Liu +4 more
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Multi-Stirling numbers of the second kind [PDF]
, 2023 Taekyun Kim, Dae San Kim, Hye Kyung Kim
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