An extremal problem for univalent functions

Miodrag Iovanov
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Miodrag Iovanov: “Constantin Brâncuşi” University of Târgu-Jiu

Annals - Economy Series, 2010, vol. 4.I, 203-206

Abstract: Let S be the class of functions f(z)=z+a2z2 ,… f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x . This problem was first proposed by Petru T. Mocanu in [2]. We will determine: x by using the variational method of Schiffer-Goluzin [1].

Keywords: extremal function; regular; univalent (search for similar items in EconPapers)
Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:cbu:jrnlec:y:2010:v:4.i:p:203-206

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