Mathematica Bohemica, online first, 6 pp.


On the order of convolution consistence of the analytic functions with negative coefficients

Grigore S. Sălăgean, Adela Venter

Received May 4, 2015.  First published February 2, 2017.

Abstract:  Making use of a modified Hadamard product, or convolution, of analytic functions with negative coefficients, combined with an integral operator, we study when a given analytic function is in a given class. Following an idea of U. Bednarz and J. Sokół, we define the order of convolution consistence of three classes of functions and determine a given analytic function for certain classes of analytic functions with negative coefficients.
Keywords:  analytic function with negative coefficients; univalent function; extreme point; order of convolution consistence; starlikeness; convexity
Classification MSC:  30C45, 30C50
DOI:  10.21136/MB.2017.0019-15

PDF available at:  Myris Trade   Institute of Mathematics CAS

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Affiliations:   Grigore S. Sălăgean, Babes-Bolyai University, Faculty of Mathematics and Computer Science, Str. Kogalniceanu Nr. 1, 400084 Cluj-Napoca, Romania, e-mail: salagean@math.ubbcluj.ro; Adela Venter, Faculty of Enviromental Protection, University of Oradea, Str. Universitatii Nr. 1, 410087 Oradea, Romania, e-mail: adela_venter@yahoo.ro

 
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