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For (n + 1)-ly connected planar domain D with analytic boundary we construct the function F(w,w0) = (w − w0)f(w,w0) which maps D conformally onto the unit disk with circular… Click to show full abstract
For (n + 1)-ly connected planar domain D with analytic boundary we construct the function F(w,w0) = (w − w0)f(w,w0) which maps D conformally onto the unit disk with circular and radial slits. We show that if n ≥ 2, then Mityuk’s function, M(w) = −(2π)−1 ln |f(w,w)|, representing the generalized reduced module of the domain D has at least one stationary point in D.
Keywords:
reduced module;
radial slits;
circular radial;
module domain;
domain;
generalized reduced
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!