Goluzin’s extension of the Schwarz-Pick inequality
For a function f holomorphic and bounded, |f|<1, with the expansion f(z)=a0+∑k=n∞akzk in the disk D={|z|<1},n≥1, we set Γ(z,f)=(1−|z|2)|f′(z)|/(1−|f(z)|2)A=|an|/(1−|a0|2),  and  ÃÂ’(z)=zn(z+A)/(1+Az). Goluzin’s extension of the Schwarz-Pick...
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| Format: | Article |
| Language: | English |
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SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1025583497000246 |