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Marx-Strohh\"{a}cker theorem for Multivalent Functions

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arxiv 2103.11711 v1 pith:U4CCSPAE submitted 2021-03-22 math.CV

Prachi Gupta , Sumit Nagpal , V. Ravichandran This is my paper · ORCID
classification math.CV
keywords functionsmultivalentcoefficientdifferentialfixedmarx-strohhresultssecond
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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].

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