Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions

Sumit Nagpal, and V. Ravichandran. "Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions." Annales Polonici Mathematici 105.3 (2012): 225-238. <http://eudml.org/doc/280952>.

@article{SumitNagpal2012,
abstract = {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.},
author = {Sumit Nagpal, V. Ravichandran},
journal = {Annales Polonici Mathematici},
keywords = {differential subordination; fixed initial coefficient; convex functions; starlike functions},
language = {eng},
number = {3},
pages = {225-238},
title = {Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions},
url = {http://eudml.org/doc/280952},
volume = {105},
year = {2012},
}

TY - JOUR
AU - Sumit Nagpal
AU - V. Ravichandran
TI - Applications of the theory of differential subordination for functions with fixed initial coefficient to univalent functions
JO - Annales Polonici Mathematici
PY - 2012
VL - 105
IS - 3
SP - 225
EP - 238
AB - 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.
LA - eng
KW - differential subordination; fixed initial coefficient; convex functions; starlike functions
UR - http://eudml.org/doc/280952
ER -