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 ${V_k}$.References
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Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 29 (1971), 307-312
- MSC: Primary 30.43
- DOI: https://doi.org/10.1090/S0002-9939-1971-0274738-5
- MathSciNet review: 0274738