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Convex functions of bounded type

Convex functions of bounded type

We introduce a new class of normalized functions univalent and convex in the unit disk. These are called convex of bounded type and the set is denoted by <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper C upper V left-parenthesis upper R 1 comma upper R 2 right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>C</mml:mi> <mml:mi>V</mml:mi> <mml:mo …