Type: Article
Publication Date: 1973-01-01
Citations: 33
DOI: https://doi.org/10.1090/s0002-9939-1973-0320294-4
A sharp coefficient estimate is obtained for a class <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper D left-parenthesis alpha right-parenthesis"> <mml:semantics> <mml:mrow> <mml:mi>D</mml:mi> <mml:mo stretchy="false">(</mml:mo> <mml:mi>α<!-- α --></mml:mi> <mml:mo stretchy="false">)</mml:mo> </mml:mrow> <mml:annotation encoding="application/x-tex">D(\alpha )</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of functions univalent in the open unit disc. The radius of convexity and an arclength result are also determined for the class.