Univalence of Gaussian and confluent hypergeometric functions

Miller, Sanford S.; Mocanu, Petru T.

doi:10.1090/S0002-9939-1990-1017006-8

Univalence of Gaussian and confluent hypergeometric functions
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by Sanford S. Miller and Petru T. Mocanu

Proc. Amer. Math. Soc. 110 (1990), 333-342

DOI: https://doi.org/10.1090/S0002-9939-1990-1017006-8

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Abstract:

Conditions are determined for the univalence convexity and starlikeness of Gaussian and confluent hypergeometric functions. In addition, subordination results are obtained for these classes of functions.

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