Marx-Strohh\"{a}cker theorem for Multivalent Functions
Complex Variables
2021-03-23 v1
Abstract
Some differential implications of classical Marx-Strohh\"acker theorem are extended for multivalent functions. These results are also generalized for functions with fixed second coefficient by using the theory of first order differential subordination which in turn, corrects the results of Selvaraj and Stelin [On multivalent functions associated with fixed second coefficient and the principle of subordination, Int. J. Math. Anal. {\bf 9} (2015), no.~18, 883--895].
Cite
@article{arxiv.2103.11711,
title = {Marx-Strohh\"{a}cker theorem for Multivalent Functions},
author = {Prachi Gupta and Sumit Nagpal and V. Ravichandran},
journal= {arXiv preprint arXiv:2103.11711},
year = {2021}
}