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On Brennan's Conjecture for a Special Class of Functions.
- Source :
-
Mathematical Notes . Sep/Oct2005, Vol. 78 Issue 3/4, p498-502. 5p. - Publication Year :
- 2005
-
Abstract
- In this paper, we prove Brennan's conjecture for conformal mappings f of the disk { z : | z| < 1} assuming that the Taylor coefficients of the function log( zf′( z)/ f( z)) at zero are nonnegative. We also obtain inequalities for the integral means over the circle | z| = r of the squared modulus of the function zf′( z)/ f( z). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00014346
- Volume :
- 78
- Issue :
- 3/4
- Database :
- Academic Search Index
- Journal :
- Mathematical Notes
- Publication Type :
- Academic Journal
- Accession number :
- 18597236
- Full Text :
- https://doi.org/10.1007/s11006-005-0149-1