Radial segments and conformal mapping of an annulus onto domains bounded by a circle and a k-circle
Tetsuo Inoue
Annales Polonici Mathematici, Tome 57 (1992), p. 157-162 / Harvested from The Polish Digital Mathematics Library
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Let f(z) be a conformal mapping of an annulus A(R) = 1 < |z| < R and let f(A(R)) be a ring domain bounded by a circle and a k-circle. If R(φ) = w : arg w = φ, and l(φ) - 1 is the linear measure of f(A(R)) ∩ R(φ), then we determine the sharp lower bound of l(φ1)+l(φ2) for fixed φ1 and φ2 (0≤φ1≤φ2≤2π).

Publié le : 1992-01-01
EUDML-ID : urn:eudml:doc:262294 
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     volume = {57},
     year = {1992},
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Tetsuo Inoue. Radial segments and conformal mapping of an annulus onto domains bounded by a circle and a k-circle. Annales Polonici Mathematici, Tome 57 (1992) pp. 157-162. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv56z2p157bwm/

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