Bounds on the coefficients of certain analytic and univalent functions
Abstract
For the real number $\alpha>1$, we use a technique due to Nehari and Netanyahu and an application of certain integral iteration of Caratheodory functions to find the best-possible upper bounds on the coefficients of functions of the class $T_n^\alpha (\beta)$ introduced in \cite{TOO} by Opoola.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2009
- DOI:
- 10.48550/arXiv.0911.0537
- arXiv:
- arXiv:0911.0537
- Bibcode:
- 2009arXiv0911.0537B
- Keywords:
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- Mathematics - Complex Variables;
- 30C45
- E-Print:
- 10 pages. Published