On the radius of starlikeness of certain analytic functions
Author:
Hassoon S. AlAmiri
Journal:
Proc. Amer. Math. Soc. 42 (1974), 466474
MSC:
Primary 30A32
MathSciNet review:
0330431
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Abstract: Let be regular in the unit disk and normalized by the conditions and . Let . Recently Libera and Livingston have studied the mapping properties of when is known. In particular, they have determined the radius of starlikeness of order for when is starlike of order . The author extends this study to include the complementary case . Also, a different proof has been given to determine the disk in which when . All results are sharp.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029939197403304314
PII:
S 00029939(1974)03304314
Keywords:
Univalent functions,
starlike functions of order ,
radius of starlikeness of order ,
functions with positive real part,
extremal function
Article copyright:
© Copyright 1974
American Mathematical Society
