On the univalence of functions whose derivative has a positive real part

Herzog, F.; Piranian, G.

doi:10.1090/S0002-9939-1951-0043211-9

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the univalence of functions whose derivative has a positive real part
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by F. Herzog and G. Piranian

Proc. Amer. Math. Soc. 2 (1951), 625-633

DOI: https://doi.org/10.1090/S0002-9939-1951-0043211-9

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References

On the theory of schlicht functions

Stefan E. Warschawski, On the higher derivatives at the boundary in conformal mapping, Trans. Amer. Math. Soc. 38 (1935), no. 2, 310–340. MR 1501813, DOI 10.1090/S0002-9947-1935-1501813-X

L’intégrale d’une fonction holomorphe et à partie réelle positive dans un demi-plan est univalente