Integrals of certain univalent functions

Singh, Ram; Singh, Sunder

doi:10.1090/S0002-9939-1979-0545592-6

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)

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Integrals of certain univalent functions
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by Ram Singh and Sunder Singh

Proc. Amer. Math. Soc. 77 (1979), 336-340

DOI: https://doi.org/10.1090/S0002-9939-1979-0545592-6

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Abstract:

In this paper we study integrals of certain univalent functions in the unit disc $E = \{ z:|z| < 1\}$ and extend some well-known results of Libera.

References

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R. J. Libera, Some classes of regular univalent functions, Proc. Amer. Math. Soc. 16 (1965), 755–758. MR 178131, DOI 10.1090/S0002-9939-1965-0178131-2
Stephan Ruscheweyh, New criteria for univalent functions, Proc. Amer. Math. Soc. 49 (1975), 109–115. MR 367176, DOI 10.1090/S0002-9939-1975-0367176-1