A new proof for an inequality of Jenkins
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- by George B. Leeman PDF
- Proc. Amer. Math. Soc. 54 (1976), 114-116 Request permission
Abstract:
A new proof of Jenkins’ inequality \[ \operatorname {Re} ({e^{2i\theta }}{a_3} - {e^{2i\theta }}a_2^2 - \tau {e^{i\theta }}{a_2}) \leqslant 1 + \tfrac {3} {8}{\tau ^2} - \tfrac {1} {4}{\tau ^2}\log (\tau /4),\quad 0 \leqslant \tau \leqslant 4,\] for univalent functions $f(z) = z + \sum \nolimits _{n = 2}^\infty {{a_n}{z^n}}$ is presented.References
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Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 54 (1976), 114-116
- DOI: https://doi.org/10.1090/S0002-9939-1976-0393457-2
- MathSciNet review: 0393457