Convolutions of prestarlike functions
The convolution of two functions f(z)=∑n=0∞anzn and g(z)=∑n=0∞bnzn defined as (f∗g)(z)=∑n=0∞anbnzn. For f(z)=z−∑n=2∞anzn and g(z)=z/(1−z)2(1−γ), the extremal function for the class of functions starlike of order γ, we investigate functions h, where h(z)=(f∗g)(z), which satisfy the inequality |(zh′/h...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1983-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171283000034 |
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