Results 21 to 30 of about 12,082,846 (215)
Kerr geodesics in horizon-penetrating Kerr coordinates: description in terms of Weierstrass functions [PDF]
Classical and quantum gravityWe revisit the theory of timelike and null geodesics in the (extended) Kerr spacetime. This work is a sequel to a recent paper by Cieślik, Hackmann, and Mach, who applied the so-called Biermann–Weierstrass formula to integrate Kerr geodesic equations ...
Zuzanna Bakun +4 more
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An Elementary Solution to a Duffing Equation
The Scientific World Journal, 2022 In this work, we study the Duffing equation. Analytical solution for undamped and unforced case is provided for any given arbitrary initial conditions.
Alvaro H. Salas
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On Certain Generalizations of Rational and Irrational Equivariant Functions
Mathematics, 2022 In this paper, we address the case of a particular class of function referred to as the rational equivariant functions. We investigate which elliptic zeta functions arising from integrals of power of ℘, where ℘ is the Weierstrass ℘-function attached to a
Isra Al-Shbeil +3 more
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Modular Forms and Weierstrass Mock Modular Forms
Mathematics, 2016 Alfes, Griffin, Ono, and Rolen have shown that the harmonic Maass forms arising from Weierstrass ζ-functions associated to modular elliptic curves “encode” the vanishing and nonvanishing for central values and derivatives of twisted Hasse-Weil L ...
Amanda Clemm
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A Characterization of Weierstrass Analytic Functions [PDF]
Proceedings of the National Academy of Sciences, 1965 The sum theorem and other results of dimension theory make it possible to characterize the graphs of Weierstrass analytic functions among the subsets of C2 (the set of all ordered pairs of complex numbers) without assuming local complex parametrizations and in fact without any reference to plane topology.
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On algebraic values of Weierstrass $\sigma$-functions [PDF]
Rendiconti Lincei, Matematica e Applicazioni, 2022 Suppose that \Omega is a lattice in the complex plane and let \sigma be the corresponding Weierstrass \sigma
Boxall, Gareth +2 more
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ON WEIERSTRASS-STONE THEOREM FOR ALGEBRAS AND MODULES OF CONTINUOUS FUNCTIONS [PDF]
Delta Journal of Science, 2005 This paper studies from the viewpoint of vector fibrations and vector spaces of cross-sections, endowed with appropriate topologies, the realm of ideas and results centered around the Weierstrass-Stone Theorem for algebras and modules of continuous ...
Siham J. Al. Sayyad
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Hodge structures and Weierstrass σ-function [PDF]
Comptes Rendus. Mathématique, 2012 In this Note we introduce new definition of Hodge structures and show that R -Hodge structures are determined by R -linear operators that are annihilated by the ...
Banaszak, Grzegorz, Milewski, Jan
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Average linear approximations for smooth functions
Statistica, 2007 Average linear approximations for smooth functions using empirical and Gaussian probabilities are introduced. The convergence of these approximations is shown to be uniform, in the sense of the Weierstrass approximation theorem.
Andrea Pallini
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Cubic-quartic optical solitons with Kudryashov’s law of refractive index by F-expansions schemes
Results in Physics, 2020 This work presents cubic-quartic optical soliton solutions to Kudryashov’s equation in polarization-preserving fibers. The integration is conducted with F-expansion scheme having four independent forms.
Gokhan Genc +3 more
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