Some relations between certain classes consisting of α -convex type and Bazilević type functions

Using the more general method of differential subordinations founded by Miller and Mocanu (2000) [11], several inclusion relations between certain classes consisting of α -convex type functions and Bazilević type functions are first obtained, and their several interesting or important consequences a...

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Veröffentlicht in:Applied mathematics letters 2011-12, Vol.24 (12), p.2010-2014
Hauptverfasser: Irmak, H., Bulboacă, T., Tuneski, N.
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container_end_page 2014
container_issue 12
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container_title Applied mathematics letters
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creator Irmak, H.
Bulboacă, T.
Tuneski, N.
description Using the more general method of differential subordinations founded by Miller and Mocanu (2000) [11], several inclusion relations between certain classes consisting of α -convex type functions and Bazilević type functions are first obtained, and their several interesting or important consequences along with some examples are then given.
doi_str_mv 10.1016/j.aml.2011.05.034
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subjects [formula omitted]-convex functions
Analytic and univalent function
Bazilević functions
Differential subordination
Exact sciences and technology
Functions of a complex variable
Inclusions
Mathematical analysis
Mathematics
Normalized function
Numerical analysis
Numerical analysis. Scientific computation
Sciences and techniques of general use
Unit open disc
title Some relations between certain classes consisting of α -convex type and Bazilević type functions
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