On the order of convolution consistence of the analytic functions with negative coefficients
Grigore S. Sălăgean; Adela Venter
Mathematica Bohemica (2017)
- Volume: 142, Issue: 4, page 381-386
- ISSN: 0862-7959
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topSălăgean, Grigore S., and Venter, Adela. "On the order of convolution consistence of the analytic functions with negative coefficients." Mathematica Bohemica 142.4 (2017): 381-386. <http://eudml.org/doc/294339>.
@article{Sălăgean2017,
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.},
author = {Sălăgean, Grigore S., Venter, Adela},
journal = {Mathematica Bohemica},
keywords = {analytic function with negative coefficients; univalent function; extreme point; order of convolution consistence; starlikeness; convexity},
language = {eng},
number = {4},
pages = {381-386},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the order of convolution consistence of the analytic functions with negative coefficients},
url = {http://eudml.org/doc/294339},
volume = {142},
year = {2017},
}
TY - JOUR
AU - Sălăgean, Grigore S.
AU - Venter, Adela
TI - On the order of convolution consistence of the analytic functions with negative coefficients
JO - Mathematica Bohemica
PY - 2017
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 142
IS - 4
SP - 381
EP - 386
AB - 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.
LA - eng
KW - analytic function with negative coefficients; univalent function; extreme point; order of convolution consistence; starlikeness; convexity
UR - http://eudml.org/doc/294339
ER -
References
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