Some Marx-Strohhacker type results for a class of multivalent functions

Some Marx-Strohhacker type results for a class of multivalent functions

In this paper, two Marx-Strohhäcker type results are proven for a certain class of analytic and multivalent functions in the open unit disk D. The first result gives the order of multivalent starlikeness for multivalently convex functions of some specified order. The second result provides a lower b...

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Veröffentlicht in:Mathematical notes (Miskolci Egyetem (Hungary)) 2017, Vol.18 (1), p.353-364
Hauptverfasser: Nunokawa, Mamoru, Srivastava, Hari M., Tuneski, Nikola, Jolevska-Tuneska, Biljana
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Lower bounds
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container_title Mathematical notes (Miskolci Egyetem (Hungary))
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creator Nunokawa, Mamoru
Srivastava, Hari M.
Tuneski, Nikola
Jolevska-Tuneska, Biljana
description In this paper, two Marx-Strohhäcker type results are proven for a certain class of analytic and multivalent functions in the open unit disk D. The first result gives the order of multivalent starlikeness for multivalently convex functions of some specified order. The second result provides a lower bound over the unit disk D of R ... for functions f(z) that are multivalently starlike of a given order. Relevant connections of the results presented here with earlier results are also indicated.
doi_str_mv 10.18514/MMN.2017.1952
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title Some Marx-Strohhacker type results for a class of multivalent functions
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