On complex harmonic typically-real functions with a pole at the point zero
Problemy analiza, no. 13 (2006), pp. 112-123
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Several mathematicians examined classes of meromorphic typically-real functions with a simple pole at the point zero. This article includes results concern class $Q'_{H}$ of complex harmonic typically-real functions with a pole at the point zero. There are determined the relationships between this class and the class $Q'_{r}$ of meromorphic typically-real funtions with a pole at the origin, which was investigated by S. A. Gelfer [4]. We present also coefficient estimates for functions of a subclass of the class $Q'_{H}$ and properties of the Hadamard product with fuctions of the class $Q'_{H}$.
@article{PA_2006_13_a9,
author = {Z. J. Jakubowski and A. Sibelska},
title = {On complex harmonic typically-real functions with a pole at the point zero},
journal = {Problemy analiza},
pages = {112--123},
year = {2006},
number = {13},
language = {en},
url = {http://geodesic.mathdoc.fr/item/PA_2006_13_a9/}
}
Z. J. Jakubowski; A. Sibelska. On complex harmonic typically-real functions with a pole at the point zero. Problemy analiza, no. 13 (2006), pp. 112-123. http://geodesic.mathdoc.fr/item/PA_2006_13_a9/