On complex harmonic typically-real functions with a pole at the point zero

Z. J. Jakubowski, A. Sibelska

University of Łódź, Chair of Nonlinear Analysis, Faculty of Mathematics

Аннотация: 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 $Q'_{H}$.

УДК: 517.54

Язык публикации: английский

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