Results 21 to 30 of about 131,766 (286)
Asymptotic distribution of eigenvalues and eigenfunctions of a nonlocal boundary value problem
Mathematical Modelling and Analysis, 2021 In this work, we obtain asymptotic formulas for eigenvalues and eigenfunctions of the second order boundary-value problem with a Bitsadze–Samarskii type nonlocal boundary condition.
Erdoğan Şen, Artūras Štikonas
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On Asymptotics of Some Fractional Differential Equations
Mathematical Modelling and Analysis, 2013 In this paper we study the large-argument asymptotic behaviour of certain fractional differential equations with Caputo derivatives. We obtain exponential and algebraic asymptotic solutions.
Lukasz Plociniczak
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Uniform WKB approximation of Coulomb wave functions for arbitrary partial wave
, 2008 Coulomb wave functions are difficult to compute numerically for extremely low energies, even with direct numerical integration. Hence, it is more convenient to use asymptotic formulas in this region.
Abramowitz M. +4 more
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Interpolation Formulas for Asymptotically Safe Cosmology
Universe, 2023 Simple interpolation formulas are proposed for the description of the renormalization group (RG) scale dependences of the gravitational couplings in the framework of the 2-parameters Einstein-Hilbert (EH) theory of gravity and applied to a simple, analytically solvable, spatially homogeneous and isotropic, spatially flat model universe.
Sandor Nagy, Kornel Sailer
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Asymptotic formulas for Dirichlet convolutions
AIMS MathematicsIn this paper, we use convoluting prime-number-theorem-related functions (Mobius, von Mangoldt, and Liouville) by the Piltz divisor function to research an asymptotic formula for the convolution sum $ (x\ge 1) $.
Ruiyang Li, Hai Yang
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Asymptotic formulas for solutions of half-linear Euler-Weber equation
Electronic Journal of Qualitative Theory of Differential Equations, 2008 We establish improved asymptotic formulas for nonoscillatory solutions of the half-linear Euler-Weber type differential equation $$ (\Phi(x'))'+\left[\frac{\gamma_p}{t^p}+\frac{\mu_p}{t^p\log^2 t}\right]\Phi(x)=0, \quad \Phi(x):=|x|^{p-2}x,\quad p>1 ...
Zuzana Pátíková
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Inaccurate use of asymptotic formulas
, 2004 The asymptotic form of the plane wave decomposition into spherical waves, which is used to express the scattering amplitude in terms of phase shifts, is incorrect. We explain why and show how to circumvent the mathematical inconsistency.Comment: 3 pages,
Maj, Radoslaw, Mrowczynski, Stanislaw
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ON THE DIVISOR PRODUCT SEQUENCES [PDF]
, 1992 The main purpose of this paper is to study the asymptotic property of the divisor product sequences, and obtain two interesting asymptotic ...
ZHU, WEIYI
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Journal of Applied Mathematics, 2013 Based on characteristics of the nonlife joint-stock insurance company, this paper presents a compound binomial risk model that randomizes the premium income on unit time and sets the threshold for paying dividends to shareholders.
Xiong Wang, Lei He
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Semiclassical Analysis of the Wigner $12j$ Symbol with One Small Angular Momentum
, 2011 We derive an asymptotic formula for the Wigner $12j$ symbol, in the limit of one small and 11 large angular momenta. There are two kinds of asymptotic formulas for the $12j$ symbol with one small angular momentum.
A. P. Yutsis +6 more
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