Coefficients of functions with bounded boundary rotation

Noonan, James W.

doi:10.1090/S0002-9939-1971-0274738-5

Coefficients of functions with bounded boundary rotation
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by James W. Noonan PDF

Proc. Amer. Math. Soc. 29 (1971), 307-312 Request permission

Abstract:

For $k \geqq 2$ denote by ${V_k}$ the class of normalized functions analytic in the unit disc which have boundary rotation at most $k\pi$. For fixed $n \leqq (k + 6)/4$ we determine the maximum of the set of values of $\left | {{a_n}} \right |$, where ${a_n}$ is the nth Taylor coefficient of a function in ${V_k}$.

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Untersuchungen über die Verzerrung bei konformen Abbildungen des Einheitskreises

die durch Funktionen mit nicht verschwindender Ableitung geliefert werden

69

Über die konforme Abbildung von Gebieten deren Ränder von beschränkter Drehung sind

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