Results 51 to 60 of about 1,656 (235)
The Canadian Journal of Chemical Engineering, EarlyView.A perturbative Graetz model describes coupled heat and mass transfer in reactive Couette–Poiseuille flow between parallel plates. Viscous dissipation and heat of reaction produce a small temperature rise, which enhances Arrhenius reaction rates and modestly accelerates axial species conversion in the small‐Brinkman‐number regime.
Leonardo Damián Soria Rodríguez +1 more
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The life and work of Ernest Sydney Keeping
Canadian Journal of Statistics, EarlyView.Abstract This article reviews the life and contributions of Ernest S. Keeping (1895–1984), a British‐born physicist who became a mathematics professor at the University of Alberta in 1929. He played a pivotal role in shaping the university's Mathematics Department, serving as its head from 1954 to 1961, and continuing to teach until 1970, nine years ...
David R. Bellhouse, Christian Genest
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Euler Numbers and Polynomials Associated with Zeta Functions
Abstract and Applied Analysis, 2008 For s ∈ ℂ, the Euler zeta function and the Hurwitz‐type Euler zeta function are defined by , and . Thus, we note that the Euler zeta functions are entire functions in whole complex s‐plane, and these zeta functions have the values of the Euler numbers or the Euler polynomials at negative integers. That is, , and .
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Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In the paper, the authors find a simple and significant expression in terms of the Stirling numbers for derivative polynomials of a function with a parameter related to the higher order Apostol-Euler numbers and to the higher order Frobenius-Euler numbers. Moreover, the authors also present a common solution to a sequence of nonlinear ordinary
Zhao, Jiao-Lian +2 more
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Extended Laguerre Polynomials Associated with Hermite, Bernoulli, and Euler Numbers and Polynomials [PDF]
Abstract and Applied Analysis, 2012 Let Pn = {p(x) ∈ ℝ[x]∣deg p(x) ≤ n} be an inner product space with the inner product , where p(x), q(x) ∈ Pn and α ∈ ℝ with α > −1. In this paper we study the properties of the extended Laguerre polynomials which are an orthogonal basis for Pn.
Kim, Taekyun, Kim, Dae San
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Immersed Boundary Projection Method for Boundaries With Slip Velocities
International Journal for Numerical Methods in Fluids, EarlyView.A formulation of the immersed boundary method for incompressible flow over arbitrarily‐shaped bodies with surface slip described by the Navier boundary condition is presented. The wall slip velocity and the boundary force are determined implicitly through a projection to satisfy both the boundary condition and the divergence‐free condition of the ...
Takehiro Fujii, Takeshi Omori
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Degenerate Bell polynomials associated with umbral calculus
Journal of Inequalities and Applications, 2020 Carlitz initiated a study of degenerate Bernoulli and Euler numbers and polynomials which is the pioneering work on degenerate versions of special numbers and polynomials.
Taekyun Kim +4 more
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Analytic continuation of q-Euler numbers and polynomials
Applied Mathematics Letters, 2008 In this paper we study that the $q$-Euler numbers and polynomials are analytically continued to $E_q(s)$. A new formula for the Euler's $q$-Zeta function $ζ_{E,q}(s)$ in terms of nested series of $ζ_{E,q}(n)$ is derived. Finally we introduce the new concept of the dynamics of analytically continued $q$-Euler numbers and polynomials.
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Some New Formulae for Genocchi Numbers and Polynomials Involving Bernoulli and Euler Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2014 We give some new formulae for product of two Genocchi polynomials including Euler polynomials and Bernoulli polynomials. Moreover, we derive some applications for Genocchi polynomials to study a matrix formulation.
Serkan Araci +2 more
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International Journal for Numerical Methods in Fluids, EarlyView.This study utilizes the Method of Manufactured Solutions (MMS) to validate high‐order compact finite‐difference schemes for 2D incompressible viscoelastic flows. By applying Oldroyd‐B and Giesekus models to a lid‐driven cavity benchmark, the researchers rigorously assessed numerical accuracy across varying Reynolds and Weissenberg numbers.
Juniormar Organista +5 more
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