Displaying similar documents to “Univalent functions maximizing Re [ f ( ζ 1 ) + f ( ζ 2 ) ] .”

The Löwner-Kufarev representations for domains with analytic boundaries

Dmitri Prokhorov (2011)

Annales UMCS, Mathematica

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We consider the Löwner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Löwner-Kufarev chain consisting of univalent quadratic polynomials and compare the Löwner-Kufarev representations of bounded and arbitrary univalent...

The Lowner-Kufarev representations for domains with analytic boundaries

Dmitri Prokhorov (2011)

Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica

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We consider the Lowner-Kufarev differential equations generating univalent maps of the unit disk onto domains bounded by analytic Jordan curves. A solution to the problem of the maximal lifetime shows how long a representation of such functions admits using infinitesimal generators analytically extendable outside the unit disk. We construct a Lowner-Kufarev chain consisting of univalent quadratic polynomials and compare the Lowner-Kufarev representations of bounded and arbitrary univalent...