By using the theory of first-order differential subordination for functions with fixed initial coefficient, several well-known results for subclasses of univalent functions are improved by restricting the functions to have fixed second coefficient. The influence of the second coefficient of univalent functions becomes evident in the results obtained.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-3-2,
author = {Sumit Nagpal and V. Ravichandran},
title = {Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions},
journal = {Annales Polonici Mathematici},
volume = {105},
year = {2012},
pages = {225-238},
zbl = {1267.30049},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-3-2}
}
Sumit Nagpal; V. Ravichandran. Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions. Annales Polonici Mathematici, Tome 105 (2012) pp. 225-238. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap105-3-2/