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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

Close-to-convex multivalent functions with respect to weakly starlike functions


Author: David Styer
Journal: Trans. Amer. Math. Soc. 169 (1972), 105-112
MSC: Primary 30A36; Secondary 30A32
MathSciNet review: 0315117
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Abstract: It is the object of this article to define close-to-convex multivalent functions in terms of weakly starlike multivalent functions. Six classes are defined, and shown to be equal. These generalize the class of close-to-convex functions developed by Livingston in the article, $ p$-valent close-to-convex functions, Trans. Amer. Math. Soc. 115 (1965), 161-179.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1972-0315117-7
PII: S 0002-9947(1972)0315117-7
Keywords: Multivalent functions, close-to-convex functions, weakly starlike functions
Article copyright: © Copyright 1972 American Mathematical Society