Results 71 to 80 of about 726,471 (254)
Probabilistic Type 2 poly-Bernoulli Polynomials
European Journal of Pure and Applied MathematicsThe main purpose of this article is to introduce the probabilistic type 2 poly-Bernoulli polynomials under the condition that Y is a random variable. This means that we will consider the probabilistic extension of the type 2 poly-Bernoulli polynomials ...
S. Lee, Li Chen, Wonjoo Kim
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Some Identities on Type 2 Degenerate Bernoulli Polynomials of the Second Kind [PDF]
Symmetry, 2019 In recent years, many mathematicians studied various degenerate versions of some special polynomials for which quite a few interesting results were discovered. In this paper, we introduce the type 2 degenerate Bernoulli polynomials of the second kind and
Taekyun Kim, L. Jang, D. Kim, H. Kim
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Canadian Journal of Statistics, EarlyView.Abstract Primary biliary cholangitis (PBC) is a progressive autoimmune cholestatic disease for which modelling death, with transplantation as a competing event, is clinically important. Cox proportional hazards (PH) models are widely used, but standard diagnostics detect lack of fit without distinguishing non‐PH from misspecified covariate functions ...
Tingxuan Wu, Cindy Feng, Longhai Li
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On the Symmetries of the q‐Bernoulli Polynomials [PDF]
Abstract and Applied Analysis, 2008 Kupershmidt and Tuenter have introduced reflection symmetries for the q‐Bernoulli numbers and the Bernoulli polynomials in (2005), (2001), respectively. However, they have not dealt with congruence properties for these numbers entirely. Kupershmidt gave a quantization of the reflection symmetry for the classical Bernoulli polynomials. Tuenter derived a
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Deep Underground Science and Engineering, EarlyView.This study proposes an eco‐friendly coal permeability enhancement technique by utilizing mine waste gangue as an abrasive in high‐pressure water jets. Integrating erosion experiments with smoothed particle hydrodynamics‐finite element method coupled simulations, the research study elucidates the flow field dynamics and a nonlinear solid–liquid ...
Qingxiang Wang +4 more
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Identity for generalized Bernoulli polynomials
, 2020 In this paper, we establish an identity for Bernoulli's generalized polynomials. We deduce generalizations for many relations involving classical Bernoulli numbers or polynomials. In particular, we generalize a recent Gessel identity.
Chellal, Redha +2 more
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Integral Formulae of Bernoulli Polynomials [PDF]
Discrete Dynamics in Nature and Society, 2012 Recently, some interesting and new identities are introduced in (Hwang et al., Communicated). From these identities, we derive some new and interesting integral formulae for the Bernoulli polynomials.
Dae San Kim +4 more
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A strategic method for expanding the Pacific Flyway Motus network
The Journal of Wildlife Management, EarlyView.We identified high‐use areas of the Pacific Flyway by state where new Motus receiving stations would have the highest probability of detecting multiple tagged avian species of interest with the highest certainty. Abstract Understanding the movement and survival of birds of conservation concern during migration is critical for guiding conservation ...
Patricia J. Wohner +3 more
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Asymptotic estimates for Apostol-Bernoulli and Apostol-Euler polynomials [PDF]
, 2012 We analyze the asymptotic behavior of the Apostol-Bernoulli polynomials Bn(x; λ) in detail. The starting point is their Fourier series on [0, 1] which, it is shown, remains valid as an asymptotic expansion over compact subsets of the complex plane.
Navas, L.M. [0000-0002-5742-8679] +7 more
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Mathematical Methods in the Applied Sciences, EarlyView.A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay +2 more
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