Coefficient characterization for certain classes of univalent functions

Obradović, M.; Ponnusamy, S.

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

Résumé

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.

Publié le : 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, Tome 16 (2009) no. 1, pp.  251-263. http://gdmltest.u-ga.fr/item/1244038137/