An alternate proof of Hall's theorem on a conformal mapping inequality.
Balasubramanian, R., Ponnusamy, S. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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Balasubramanian, R., Ponnusamy, S. (1996)
Bulletin of the Belgian Mathematical Society - Simon Stevin
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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.
Steinhardt, Jacob (2009)
The Electronic Journal of Combinatorics [electronic only]
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Wituła, Roman, Słota, Damian (2007)
Journal of Integer Sequences [electronic only]
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Wang, Kunyang (2006)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhao, Chang-Jian, Debnath, Lokenath (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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d'Azevedo Breda, A.M. (1996)
Portugaliae Mathematica
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Aaron Melman (2013)
The Teaching of Mathematics
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Javier Chavarriga (1994)
Applicationes Mathematicae
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We study integrability of two-dimensional autonomous systems in the plane with center type linear part. For quadratic and homogeneous cubic systems we give a simple characterization for integrable cases, and we find explicitly all first integrals for these cases. Finally, two large integrable system classes are determined in the most general nonhomogeneous cases.
Korkmasov, F.M. (2004)
Sibirskij Matematicheskij Zhurnal
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Cuiying Peng, Fuguo Ge, Xiquan Liang (2007)
Formalized Mathematics
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In this article, we give several integrability formulas of special and composite functions including trigonometric function, inverse trigonometric function, hyperbolic function and logarithmic function.