Results 101 to 110 of about 726,471 (254)
The Möbius inversion formula for Fourier series applied to Bernoulli and Euler polynomials
, 2011 Hurwitz found the Fourier expansion of the Bernoulli polynomials over a century ago. In general, Fourier analysis can be fruitfully employed to obtain properties of the Bernoulli polynomials and related functions in a simple manner. In addition, applying
Ruiz, Francisco J. +4 more
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Generalisation of Bernoulli Polynomials
, 2001 In this article, the Bernoulli polynomials are generalised and some properties of the resulting generalisations are ...
Qi, Feng, Guo, Bai-Ni
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Two types of hypergeometric degenerate Cauchy numbers
Open Mathematics, 2020 In 1985, Howard introduced degenerate Cauchy polynomials together with degenerate Bernoulli polynomials. His degenerate Bernoulli polynomials have been studied by many authors, but his degenerate Cauchy polynomials have been forgotten.
Komatsu Takao
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Degenerate Poly-Lah-Bell Polynomials and Numbers
Journal of Mathematics, 2022 Many mathematicians studied “poly” as a generalization of the well-known special polynomials such as Bernoulli polynomials, Euler polynomials, Cauchy polynomials, and Genocchi polynomials. In this paper, we define the degenerate poly-Lah-Bell polynomials
Taekyun Kim, Hye Kyung Kim
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European Management Review, EarlyView.Abstract We investigate the effect of logic multiplicity on organizational performance and hypothesize that logics may impact performance in view of their sheer number. We further propose that the market logic embedded in the for‐profit legal form can positively moderate the impact of multiple logics on performance.
Francesca Capo +3 more
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A Horse Race of Machine‐Learning Methods to Predict Banking Crises
International Finance, EarlyView.ABSTRACT To examine if one machine‐learning model can consistently elucidate financial vulnerabilities, both over time and across levels of development, this paper applies 13 machine‐learning algorithms to evaluate comparative forecasting performance across several banking crises.
Emile du Plessis
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Representations by Probabilistic Bernoulli and Degenerate Bernoulli Polynomials
Quaestiones MathematicaeWe investigate the representation of arbitrary polynomials using probabilistic Bernoulli and degenerate Bernoulli polynomials associated with a random variable $Y$, whose moment generating function exists in a neighborhood of the origin. In addition, this paper explores the problem of representing arbitrary polynomials in terms of their higher-order ...
Kim, Dae san, Kim, Taekyun
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Journal of Child Psychology and Psychiatry, EarlyView.Background Recent evidence suggests that many autistic individuals exhibit heightened emotional responsiveness to others' affect despite greater difficulty recognizing others' emotions and accurately inferring their perspectives. This study introduces and preliminarily evaluates the Emotion Regulation and Recognition Account (ERRA), a model proposing ...
Jeffrey J. Wood +7 more
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Some Formulae for the Product of Two Bernoulli and Euler Polynomials
Abstract and Applied Analysis, 2012 We investigate some formulae for the product of two Bernoulli and Euler polynomials arising from the Euler and Bernoulli basis polynomials.
D. S. Kim +3 more
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Congruences concerning Bernoulli numbers and Bernoulli polynomials
Discrete Applied Mathematics, 2000 Let \(B_n(x)\), resp. \(B_n\), denote the classical Bernoulli polynomial, resp. number. In the paper under review the author proves some generalizations of Kummer's congruence by determining \[ \frac{B_{k(p-1)+b}(x)}{(k(p-1)+b)}\pmod{p^n} \] where \(p\) is an odd prime, \(x\) a \(p\)-integral rational number and \(p-1\nmid b\), while Kummer considered ...
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