Results 71 to 80 of about 95,768 (266)
q-Bernoulli Numbers Associated with q-Stirling Numbers
Advances in Difference Equations, 2008 We consider Carlitz q-Bernoulli numbers and q-Stirling numbers of the first and the second kinds. From the properties of q-Stirling numbers, we derive many interesting formulas associated with Carlitz q-Bernoulli numbers. Finally, we will prove βn,q=â
Taekyun Kim
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A Combinatorial Model for $q$-Generalized Stirling and Bell Numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2008 We describe a combinatorial model for the $q$-analogs of the generalized Stirling numbers in terms of bugs and colonies. Using both algebraic and combinatorial methods, we derive explicit formulas, recursions and generating functions for these $q ...
Miguel Méndez, Adolfo Rodríguez
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BAXTER ALGEBRAS, STIRLING NUMBERS AND PARTITIONS [PDF]
Journal of Algebra and Its Applications, 2005 Recent developments of Baxter algebras have led to applications to combinatorics, number theory and mathematical physics. We relate Baxter algebras to Stirling numbers of the first and the second kinds, partitions and multinomial coefficients. This allows us to apply congruences from number theory to obtain congruences in Baxter algebras.
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International Insolvency Review, EarlyView.Abstract The United Nations Commission on International Trade Law (UNCITRAL) has produced the most robust international insolvency regime applicable to countries around the world. The Model Law on Cross‐Border Insolvency (1997) is widely accepted and already very popular among African countries.
Pontian N. Okoli
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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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Navigating ESG in the Artificial Intelligence Era: Evidence From AI Pilot Zones in China
International Studies of Economics, EarlyView.ABSTRACT Artificial intelligence is reshaping business models, but limited literature explores how ESG evolves in the AI era. This paper regards AI Pilot Zones in China as a quasi‐natural experiment, and adopts the DID approach to investigate its impact on corporate ESG performance. Using the sample of Chinese A‐share listed companies from 2016 to 2022,
Yujie Liu, Xinyi Shen
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On Degenerate Truncated Special Polynomials
Mathematics, 2020 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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Combinatorial interpretations of the Jacobi-Stirling numbers
, 2009 The Jacobi-Stirling numbers of the first and second kinds were introduced in 2006 in the spectral theory and are polynomial refinements of the Legendre-Stirling numbers.
Gelineau, Yoann, Zeng, Jiang
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Asymptotics of Stirling and Chebyshev‐Stirling Numbers of the Second Kind
Studies in Applied Mathematics, 2014 For the classical Stirling numbers of the second kind, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabilistic approach also applies to the Chebyshev–Stirling numbers, a special case of the Jacobi–Stirling numbers.
Gawronski, Wolfgang +2 more
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The We‐Relationship as a Key to Addressing Dementia‐Related Ambiguous Loss
Journal of Applied Philosophy, EarlyView.ABSTRACT Pauline Boss describes the challenges faced by people caring for family members with dementia in terms of ambiguous loss – a condition in which the physical presence of the person with dementia coexists with their psychological absence. This article proposes the concept of we‐relationship as a key to addressing dementia‐related ambiguous loss.
Takuya Niikawa, Xue Li
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