
On classes of meromorphic or complex harmonic functions with a pole at the infinity
Author(s) -
Z. J. Jakubowski,
Agnieszka Sibelska
Publication year - 2009
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0186
Subject(s) - meromorphic function , mathematics , harmonic function , harmonic , infinity , analytic function , pure mathematics , class (philosophy) , algebra over a field , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence
In this article we investigate some classes of meromorphic or complex harmonic functions with a pole, which are generated either by analytic conditions or by “coefficient inequalities”. There are given theorems, which combine the geometrical properties of functions of the introduced classes. Some results broaden knowledge about the classes of functions, which were investigated in [