Results 91 to 100 of about 1,107,761 (293)
Exact results for a fractional derivative of elementary functions
SciPost Physics, 2018 We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic, Gaussian, quartic Gaussian, and Lorentzian ...
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina, Lincoln D. Carr
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Trigonometric Induced Multivariate Smooth Gauss–Weierstrass Singular Integrals Approximation [PDF]
, 2023 George A. Anastassiou
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physica status solidi (RRL) – Rapid Research Letters, EarlyView.The polarization change of an arbitrarily polarized wave in an optically anisotropic medium is discussed, focusing on cases where the refractive index, the extinction coefficient, and the two eigenmodes are degenerated. The polarization converges to that of the eigenmode with the lowest extinction coefficient, except when the extinction coefficients ...
Chris Sturm, Marius Grundmann
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Travelling Wave Solutions for Nonlinear Schrödinger Equation with a Higher-Order Dispersive Term
Abstract and Applied Analysis, 2013 A nonlinear Schrödinger equation with a higher-order dispersive term describing the propagation of ultrashort femtosecond pulses in optical fibres is considered and is transformed into a second-order nonlinear ordinary differential equation.
Rui Cao
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General spherical harmonic bra-ket overlap integrals of trigonometric functions [PDF]
, 2023 Giuseppe Lingetti, Paolo Pani
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On the zeros of certain trigonometric integrals
Journal of Mathematical Analysis and Applications, 1988 On localise les zeros des fonctions qui peuvent s'ecrire sous la forme ∫ 0 1 Φ(t)cos2t dt, z ...
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MathematicsInvestigation of the generalized trigonometric and hyperbolic functions containing two parameters has been a very active research area over the last decade.
Dmitrii Karp, Elena Prilepkina
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New optical solitons of conformable resonant nonlinear Schrödinger’s equation
Open Physics, 2020 Sardar subequation approach, which is one of the strong methods for solving nonlinear evolution equations, is applied to conformable resonant Schrödinger’s equation.
Rezazadeh Hadi +4 more
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Solving Fractional Definite Integrals of Two Types of Fractional Trigonometric Functions [PDF]
, 2023 Chii-Huei Yu
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INTEGRABILITY OF TRIGONOMETRIC SERIES
Tamkang Journal of Mathematics, 1990 Generalization of the theorems of Taljakovskii [7] and Sing and Sharma [5] have been obtained.
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