On functions of bounded rotation

Noonan, J. W.

doi:10.1090/S0002-9939-1972-0291434-X

On functions of bounded rotation
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by J. W. Noonan PDF

Proc. Amer. Math. Soc. 32 (1972), 91-101 Request permission

Abstract:

For fixed $k \geqq 2$, denote by ${V_k}$ and ${R_k}$ the classes of functions regular in the unit disc and having boundary and radial rotation, respectively, at most $k\pi$. The concept of order of a function is defined for both ${V_k}$ and ${R_k}$. For functions in these classes, the growth of integral and coefficient means is studied in terms of the order of the function. Some length-area results are also obtained.

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

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