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Marx–Strohhäcker theorem for multivalent functions.

Authors :
Gupta, Prachi
Nagpal, Sumit
Ravichandran, V.
Source :
Afrika Matematica; Nov2021, Vol. 32 Issue 7/8, p1421-1434, 14p
Publication Year :
2021

Abstract

Some differential implications of classical Marx–Strohhäcker 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 (Int J Math Anal 9(18): 883–895, 2015). [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10129405
Volume :
32
Issue :
7/8
Database :
Complementary Index
Journal :
Afrika Matematica
Publication Type :
Academic Journal
Accession number :
153078784
Full Text :
https://doi.org/10.1007/s13370-021-00909-2