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Estimating the Gerber-Shiu Function in Lévy Insurance Risk Model by Fourier-Cosine Series Expansion
Mathematics, 2021 In this paper, we propose an estimator for the Gerber–Shiu function in a pure-jump Lévy risk model when the surplus process is observed at a high frequency.
Wen Su, Yunyun Wang
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Fourier series expansion for nonlinear Hamiltonian oscillators [PDF]
Physical Review E, 2010 The problem of nonlinear Hamiltonian oscillators is one of the classical questions in physics. When an analytic solution is not possible, one can resort to obtaining a numerical solution or using perturbation theory around the linear problem. We apply the Fourier series expansion to find approximate solutions to the oscillator position as a function of
Méndez López, Vicenç +3 more
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Fourier expansion of light‐cone Eisenstein series
Journal of the London Mathematical Society, 2023 AbstractIn this work, we give an explicit formula for the Fourier coefficients of Eisenstein series corresponding to certain arithmetic lattices acting on hyperbolic ‐space. As a consequence, we obtain results on location of all poles of these Eisenstein series as well as their supremum norms.
Dubi Kelmer, Shucheng Yu
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On the Invalidity of Fourier Series Expansions of Fractional Order [PDF]
Fractional Calculus and Applied Analysis, 2015 The purpose of this short paper is to show the invalidity of a Fourier series expansion of fractional order as derived by G. Jumarie in a series of papers. In his work the exponential functions $e^{inωx}$ are replaced by the Mittag-Leffler functions $E_α\left (i (nωx)^α\right) ,$ over the interval $[0, M_α/ ω]$ where $0< ...
Massopust, P., Zayed, A.I.
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Remote Sensing, 2022 Accurate and highly precise gravity gradient data are an important component of, for example, gravity field modeling, seabed topography inversion, and resource exploration. However, high-precision gravity gradient data are difficult to obtain. To address
Bei Liu +6 more
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An approach for one dimensional periodic arbitrary lithography based on Fourier series
Engineering Science and Technology, an International Journal, 2021 In interference lithography, 1-dimensional (1D) Fourier series expansion (FSE) technique can be used to create 1D periodic arbitrary patterns. Since the energy of electric field can change the solubility of photoresist, the required electric field ...
Mahdi Kordi +3 more
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Axioms, 2022 In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent polynomials are defined by mixing the concept of Tangent polynomials with ...
Cristina Bordaje Corcino +1 more
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Near-wall Taylor-series expansion solution for compressible Navier–Stokes–Fourier system
AIP Advances, 2022 This paper presents the Taylor-series expansion solution of near-wall velocity and temperature for a compressible Navier–Stokes–Fourier system with a no-slip curved boundary surface.
Tao Chen, Tianshu Liu
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Shuiwen dizhi gongcheng dizhi, 2023 The borehole heat exchanger (BHE) is a key component using shallow geothermal energy in ground source heat pump systems (GSHPS), and reasonable pipe spacing design has a great impact on the heat transfer performance and economy of the GSHPs.
Jiashu LI +3 more
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Prediction of volcanic fractures based on prestack azimuthal anisotropy: A case study of LFS area in southern Songliao Basin [PDF]
Youqicang pingjia yu kaifaAnisotropic parameter inversion based on pre-stack azimuth gather seismic data is one of the primary methods for fracture prediction, among which two algorithms, RüGER approximate equation and Fourier series expansion, are more widely used.
LI Ning,MIAO He,CAO Kaifang
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