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Proceedings of the American Mathematical Society

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Univalence of Gaussian and confluent hypergeometric functions


Authors: Sanford S. Miller and Petru T. Mocanu
Journal: Proc. Amer. Math. Soc. 110 (1990), 333-342
MSC: Primary 33A30; Secondary 30C45
DOI: https://doi.org/10.1090/S0002-9939-1990-1017006-8
MathSciNet review: 1017006
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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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DOI: https://doi.org/10.1090/S0002-9939-1990-1017006-8
Keywords: Gaussian and confluent hypergeometric functions, univalent, convex, starlike, differential subordination
Article copyright: © Copyright 1990 American Mathematical Society