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.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 91-101
- MSC: Primary 30A32
- DOI: https://doi.org/10.1090/S0002-9939-1972-0291434-X
- MathSciNet review: 0291434