Results 131 to 140 of about 726,471 (254)
On p-Bernoulli numbers and polynomials
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Transfer Learning Under Group‐Label Shift: A Semiparametric Exponential Tilting Approach
ABSTRACT This article studies unsupervised transfer learning for a binary outcome, with labeled source data and unlabeled target covariates. The setting is motivated by cases where standard covariate‐shift and label‐shift assumptions are inadequate: group‐ or environment‐related features may vary jointly with the label across populations, while the ...
Manli Cheng +3 more
wiley +1 more source
Nonlinear Identities for Bernoulli and Euler Polynomials
It is shown that a certain nonlinear expression for Bernoulli polynomials, related to higher-order convolutions, can be evaluated as a product of simple linear polynomials with integer coefficients.
Dilcher, Karl
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Congruences involving Bernoulli polynomials
The author proves congruences modulo \(p\), an odd prime, between values of Bernoulli polynomials \(B_n(x)\) and certain sums of Kronecker symbols \(({k\over p})\) or, alternatively, sums of binomial coefficients \(p\choose k\). He also proves similar congruences for Euler polynomials \(E_n(x)\).
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Convolution Identities for Bernoulli and Genocchi Polynomials [PDF]
The main purpose of this paper is to derive various Matiyasevich-Miki-Gessel type convolution identities for Bernoulli and Genocchi polynomials and numbers by applying some Euler type identities with two parameters.
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Novel Bernstein‐Kantorovich Type Operators
ABSTRACT In this paper, we introduce a novel class of Bernstein‐Kantorovich operators, denoted as K β n , θ $$ {K}_{\beta}^{n,\theta } $$ , parameterized by 0 < β < 1 $$ 0<\beta <1 $$ and θ > 0 $$ \theta >0 $$ . We first derive a recurrence formula that facilitates the computation of moments and central moments and provide explicit expressions for K β ...
Pembe Sabancigil, Nazim I. Mahmudov
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In the aftermath of a large earthquake, several practical constraints affect the systematic collection of data for assessing building damage. The available data are therefore typically incomplete, frequently missing key information such as the type of construction, age and geographic location.
Max Anderson Loake, Kishor S. Jaiswal
wiley +1 more source
Using 18 years of data on eastern grey kangaroos, we show that drivers of individual reproductive success often do not scale up to population recruitment. Birth asynchrony could buffer population recruitment against environmental variability, such that variables affecting individual reproduction have little impact at the population level.
Rachel Bergeron +4 more
wiley +1 more source
On the number of prime factors of consecutive integers
Abstract We prove that there are infinitely many n$n$ such that ω(n+k)≪logk$\omega (n+k) \ll \log k$ for all integers k⩾2$k \geqslant 2$. This improves on a result of Tao and Teräväinen, who have O(k)$O(k)$ in place of O(logk)$O(\log k)$. As corollaries, we make progress on a number of questions posed by Erdős.
Cheuk Fung (Joshua) Lau
wiley +1 more source
A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials
Motivated by their importance and potential for applications in certain problems in number theory, combinatorics, classical and numerical analysis, and other fields of applied mathematics, a variety of polynomials and numbers with their variants and ...
N. Khan, T. Usman, Junesang Choi
semanticscholar +1 more source

