Results 1 to 10 of about 212,516 (270)
Generalised elliptic functions [PDF]
Open Mathematics, 2012 Abstract We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstraß ℘-function using two different approaches.
England Matthew, Athorne Chris
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HEUN FUNCTIONS VERSUS ELLIPTIC FUNCTIONS [PDF]
Difference Equations, Special Functions and Orthogonal Polynomials, 2007 Communication at the International Conference on Difference Equations, Special Functions and Applications, Munich, 25-30 july 2005, latex 2e, 20 ...
Valent, Galliano
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Elliptic Feynman integrals and pure functions
Journal of High Energy Physics, 2018 We propose a variant of elliptic multiple polylogarithms that have at most logarithmic singularities in all variables and satisfy a differential equation without homogeneous term.
Broedel, Johannes +4 more
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Demchenko’s nonholonomic case of a gyroscopic ball rolling without sliding over a sphere after his 1923 Belgrade doctoral thesis [PDF]
Theoretical and Applied Mechanics, 2020 We present an integrable nonholonomic case of rolling without sliding of a gyroscopic ball over a sphere. This case was introduced and studied in detail by Vasilije Demchenko in his 1923 doctoral dissertation defended at the University of Belgrade, with ...
Dragović Vladimir +2 more
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Elliptic cliffordian functions [PDF]
Complex Variables, Theory and Application: An International Journal, 2001 In the study of holomorphic functions of one complex variable, one well-known theory is that of elliptic functions and it is possible to take the zeta-function of Weierstrass as a building stone of this vast theory. We are working the analogue theory in the natural context of higher dimensional spaces : holomorphic and elliptic Cliffordian functions.
Laville, Guy, Ramadanoff, Ivan
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Вестник КазНУ. Серия математика, механика, информатика, 2021 The methods of complex analysis constitute the classical direction in the study of elliptic equations and mixed-type equations on the plane and fundamental results have now been obtained. In the early 60s of the last century, a new theoretical-functional
B. D. Koshanov, A. D. Kuntuarova
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On solutions of the Chazy equation
Журнал Белорусского государственного университета: Математика, информатика, 2021 The Chazy system determines the necessary and sufficient conditions for the absence of movable critical points of solutions of the particular third order differential equation that was considered by Chazy in one of the first papers on the classification ...
Kiryl G. Atrokhau, Elena V. Gromak
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Introducing elliptic, an R Package for Elliptic and Modular Functions
Journal of Statistical Software, 2006 This paper introduces the elliptic package of R routines, for numerical calculation of elliptic and related functions. Elliptic functions furnish interesting and instructive examples of many ideas of complex analysis, and the package illustrates these ...
Robin K.S. Hankin
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On the equation fn + (f″)m ≡ 1
Demonstratio Mathematica, 2023 Let nn and mm be two positive integers, and the second-order Fermat-type functional equation fn+(f″)m≡1{f}^{n}+{({f}^{^{\prime\prime} })}^{m}\equiv 1 does not have a nonconstant meromorphic solution in the complex plane, except (n,m)∈{(1,1),(1,2),(1,3 ...
Dang Guoqiang
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Towards elliptic deformation of q,t-matrix models
Physics Letters B, 2021 As a necessary step in construction of elliptic matrix models, which preserve the superintegrability property ∼char, we suggest an elliptic deformation of the peculiar loci pkΔn, which play an important role in precise formulation of this property.
Andrei Mironov, Alexei Morozov
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