Relations of a planar domains bounded by hyperbolas with families of holomorphic functions
Abstract We consider a family of analytic and normalized functions with the property that zf′(z)/f(z) $zf'(z)/f(z)$ (or 1+zf″(z)/f′(z) $1+zf''(z)/f'(z)$) lies in a domain bounded by a right branch of a hyperbola ρ=ρ(s)=(2cosφs)−s $\rho =\rho (s)= ( 2 \cos \frac{\varphi }{s} )^{-s...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-09-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-019-2190-8 |