On Baica's trigonometric identity.
Gregorac, R.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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Gregorac, R.J. (1989)
International Journal of Mathematics and Mathematical Sciences
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Baica, Malvina (1986)
International Journal of Mathematics and Mathematical Sciences
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Javier Chavarriga, Jaume Giné (1996)
Publicacions Matemàtiques
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In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.
Alois Švec (1978)
Časopis pro pěstování matematiky
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Javier Chavarriga, Jaume Giné (1997)
Publicacions Matemàtiques
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In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.
Bruce Chalmers, Grzegorz Lewicki (2000)
Annales Polonici Mathematici
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Let V be a two-dimensional real symmetric space with unit ball having 8n extreme points. Let λ(V) denote the absolute projection constant of V. We show that where is the space whose ball is a regular 8n-polygon. Also we reprove a result of [1] and [5] which states that for any two-dimensional real symmetric space V.
H. Fath el Bab (1977)
Czechoslovak Mathematical Journal
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