Results 1 to 10 of about 471 (158)
Discrete Weierstrass-Type Representations [PDF]
Discrete and Computational Geometry, 2022 22 pages, 4 ...
Masashi Yasumoto +2 more
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Weierstrass-type representations [PDF]
Geometriae Dedicata, 2019 Weierstrass-type representations have been used extensively in surface theory to create surfaces with special curvature properties. In this paper we give a unified description of these representations in terms of classical transformation theory of $Ω$-surfaces.
Mason Pember
exaly +5 more sources
The Weierstrass—Enneper representation using hodographic coordinates on a minimal surface [PDF]
Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2003 In this paper we obtain the general solution to the minimal surface equation, namely its local Weierstrass-Enneper representation, by using a system of hodographic coordinates. This is done by using the method of solving the Born-Infeld equations by Whitham.
Rukmini Dey
exaly +3 more sources
Mellin Transform of Weierstrass Zeta Function and Integral Representations of Some Lambert Series
MathematicsWe consider a series which combines two Dirichlet series constructed from the coefficients of a Laurent series and derive a general integral representation of the series as a Mellin transform.
Namhoon Kim
doaj +3 more sources
Guessing quantum states from images of their zeros in the complex plane
Machine Graphics & Vision, 2023 The problem of determining the wave function of a physical system based on the graphical representation of its zeros is considered. It can be dealt with by invoking the Bargmann representation in which the wave functions are represented by analytic ...
Maciej Janowicz, Andrzej Zembrzuski
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Mathematics, 2021 In this work, we study the generalized 2D equal-width equation which arises in various fields of science. With the aid of numerous methods which includes Lie symmetry analysis, power series expansion and Weierstrass method, we produce closed-form ...
Chaudry Masood Khalique, Karabo Plaatjie
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Appell and Sheffer sequences: on their characterizations through functionals and examples
Comptes Rendus. Mathématique, 2021 The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature ...
Carrillo, Sergio A., Hurtado, Miguel
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On multivortex solutions of the weierstrass representation [PDF]
Physics of Atomic Nuclei, 2002 The connection between the complex Sine and Sinh-Gordon equations on the complex plane associated with a Weierstrass type system and the possibility of construction of several classes of multivortex solutions is discussed in detail. We perform the Painlevé test and analyse the possibility of deriving the Bäcklund transformation from the singularity ...
Bracken, P. +2 more
openaire +2 more sources
Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
Complex Manifolds, 2022 We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F. +2 more
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