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Extreme points of univalent functions with two fixed points

Extreme points of univalent functions with two fixed points

Univalent functions of the form <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="f left-parenthesis z right-parenthesis equals a 1 z minus normal upper Sigma Subscript n equals 2 Superscript normal infinity Baseline a Subscript n Baseline z Superscript n"> <mml:semantics> <mml:mrow> <mml:mi>f</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>z</mml:mi> <mml:mo stretchy="false">)</mml:mo> <mml:mo>=</mml:mo> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msub> <mml:mi>a</mml:mi> <mml:mn>1</mml:mn> …