Geodesic
On the order of convolution consistence of the analytic functions with negative coefficients
Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 381-386
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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.
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.
DOI : 10.21136/MB.2017.0019-15
Classification : 30C45, 30C50
Keywords: analytic function with negative coefficients; univalent function; extreme point; order of convolution consistence; starlikeness; convexity 
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Sălăgean, Grigore S.; Venter, Adela. On the order of convolution consistence of the analytic functions with negative coefficients. Mathematica Bohemica, Tome 142 (2017) no. 4, pp. 381-386. doi: 10.21136/MB.2017.0019-15

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