Results 11 to 20 of about 1,012 (183)
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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Axioms, 2021 A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
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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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New Solutions for the Generalized BBM Equation in terms of Jacobi and Weierstrass Elliptic Functions
Abstract and Applied Analysis, 2021 The Jacobi elliptic function method is applied to solve the generalized Benjamin-Bona-Mahony equation (BBM). Periodic and soliton solutions are formally derived in a general form. Some particular cases are considered.
Alvaro H. Salas +2 more
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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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Infinitely Many Elliptic Solutions to a Simple Equation and Applications
Abstract and Applied Analysis, 2013 Based on auxiliary equation method and Bäcklund transformations, we present an idea to find infinitely many Weierstrass and Jacobi elliptic function solutions to some nonlinear problems.
Long Wei, Yang Wang
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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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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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Consideration of boundary conditions in the scattering of laser radiation by rough fractal surfaces
Фізика і хімія твердого тіла, 2018 The work within the scalar theory of Kirchhoff, solved the problem of scattering of laser light rough surface for the simulation which used two-dimensional modified Weierstrass function with a finite number of harmonics.
O. O. Havryliuk, O. Yu. Semchuk
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Journal of Function Spaces, 2022 In this paper, we determine the radius of λ-uniform convexity, λ-starlikeness, and α-convexity of order δ for the Weierstrass canonical product of an entire function as a root having smallest modulus and argument ϕ of a functional equation.
K. A. Selvakumaran +3 more
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