Results 11 to 20 of about 143,342 (266)
The cubic Pell equation $L$-function
Acta Arithmetica, 2023 For $d > 1$ a cubefree rational integer, we define an $L$-function (denoted $L_d(s)$) whose coefficients are derived from the cubic theta function for $\mathbb Q\left(\sqrt{-3}\right)$. The Dirichlet series defining $L_d(s)$ converges for $\text{Re}(s) > 1$, and its coefficients vanish except at values corresponding to integral solutions of $mx^3
Goldfeld, Dorian, Hinkle, Gerhardt
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Approximately cubic functional equations and cubic multipliers [PDF]
Journal of Inequalities and Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bodaghi, Abasalt +2 more
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Momentum-dependent dielectric function of cubic BaTiO3 [PDF]
E3S Web of ConferencesWe study the momentum-dependent dielectric function of barium titanateperovskite in the cubic phase. We perform first-principle calculations within the time-dependent density functional theory, including local effects. The results show that these effects
Le Hong Phuc +2 more
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Gamma function method for the nonlinear cubic-quintic Duffing oscillators
Journal of Low Frequency Noise, Vibration and Active Control, 2022 In this article, the gamma function method, for the first time ever, is used to solve the nonlinear cubic-quintic Duffing oscillators. The nonlinear cubic-quintic Duffing oscillators with and without the damped and quadratic terms are considered ...
Kang-Jia Wang, Guo-Dong Wang
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Shape preserving rational bi-cubic function
Egyptian Informatics Journal, 2012 The study is dedicated to the development of shape preserving interpolation scheme for monotone and convex data. A rational bi-cubic function with parameters is used for interpolation.
Malik Zawwar Hussain +2 more
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Convergence Analysis of Cubic Spline Function with Fractional Degree and Applications [PDF]
مجلة جامعة الانبار للعلوم الصرفة, 2023 In this paper, a fractional degree cubic spline scheme is proposed and analyzed for fractional order with the multi-term Riemann–Liouvile (R–L) derivatives. For the integral and fractional differential equations, we handle fractional continuity equations
Twana Hidayat +2 more
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Cubic elliptic functions [PDF]
The Ramanujan Journal, 2006 The cubic elliptic functions referred to in the title of this paper are ones which are analogous to \[ g_1(\theta,q)= \frac 16 + \sum_{1\leq k < \infty} \frac{q^{k}}{1+q^{k}+q^{2k}} \sin(2k \theta) \] which is an elliptic function in \(\theta\) with fundamental periods \(2 \pi\) and \(6\pi \imath t\) where \(q=e^{-2\pi t}\).
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Tabulation of cubic function fields via polynomial binary cubic forms [PDF]
Mathematics of Computation, 2012 We present a method for tabulating all cubic function fields overFq(t)\mathbb {F}_q(t)whose discriminantDDhas either odd degree or even degree and the leading coefficient of−3D-3Dis a non-square inFq∗\mathbb {F}_{q}^*, up to a given boundBBondeg(D)\deg (D).
Rozenhart, Pieter +2 more
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Shape preserving rational cubic spline for positive and convex data
Egyptian Informatics Journal, 2011 In this paper, the problem of shape preserving C2 rational cubic spline has been proposed. The shapes of the positive and convex data are under discussion of the proposed spline solutions. A C2 rational cubic function with two families of free parameters
Malik Zawwar Hussain +2 more
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Journal of Function Spaces, 2022 The purpose of aggregation methods is to convert a list of objects of a set into a single object of the same set usually by an n-arry function, so-called aggregation operator.
Muhammad Riaz +4 more
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