On radii of convexity and starlikeness of some classes of analytic functions
Let P[A,B], −1≤B<A≤1, be the class of functions p such that p(z) is subordinate to 1+Az1+Bz. Let P(α1) be the class of functions with positive real part greater than α1, 0≤α1≤1. It is clear that p[A,B]⊂P(1−A1−B)⊂P[1,−1]. The principal results in this paper are the determination of the radius of...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1991-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S016117129100100X |
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| Summary: | Let P[A,B], −1≤B<A≤1, be the class of functions p such that p(z) is subordinate to
1+Az1+Bz. Let P(α1) be the class of functions with positive real part greater than α1, 0≤α1≤1. It is clear that
p[A,B]⊂P(1−A1−B)⊂P[1,−1]. The principal results in this paper are the determination of the radius of
β-starlikeness and β-convexity of f(z) with β=1−A1−B, when f(z) is restricted to certain classes of univalent
and analytic functions related vith P[A,B]. |
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| ISSN: | 0161-1712 1687-0425 |