Coefficient characterization for certain classes of univalent functions

Obradović, M.; Ponnusamy, S.

Bull. Belg. Math. Soc. Simon Stevin, Volume 16 (2009) no. 1, p. 251-263 / Harvested from Project Euclid

Abstract

Necessary and sufficient coefficient conditions are established for certain classes of analytic functions to be univalent in the unit disk. In addition, characterizations and convolution results are established for these classes of functions. As a consequence univalency preservation type operators are discussed.

Published online : 2009-05-15
Classification: univalent, starlike and convex functions, 30C45, 30C55

@article{1244038137,
     author = {Obradovi\'c, M. and Ponnusamy, S.},
     title = {Coefficient characterization for certain classes of univalent functions},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 251-263},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244038137}
}

Obradović, M.; Ponnusamy, S. Coefficient characterization for certain classes of univalent functions. Bull. Belg. Math. Soc. Simon Stevin, Volume 16 (2009) no. 1, pp.  251-263. http://gdmltest.u-ga.fr/item/1244038137/