scholarly journals The modification of Poisson-Sch integral on cones and its applications

Filomat ◽  
2016 ◽  
Vol 30 (12) ◽  
pp. 3291-3302 ◽  
Author(s):  
Jinjin Huang ◽  
Beatriz Ychussie
Keyword(s):  
Harmonic Functions ◽  
Asymptotic Behaviors ◽  
Geometrical Properties ◽  
Exceptional Sets ◽  
Generalized Harmonic Functions

In this paper, weconstruct a modified Poisson-Sch integral on cones. As applications, wenot only obtain the asymptotic behaviors of generalized harmonic functions but also characterize the geometrical properties of the exceptional sets with respect to the Schr?dinger operator on cones.

scholarly journals On classes of meromorphic or complex harmonic functions with a pole at the infinity

2009 ◽  
Vol 42 (3) ◽  
Author(s):  
Zbigniew J. Jakubowski ◽  
Agnieszka Sibelska
Keyword(s):  
Harmonic Functions ◽  
Geometrical Properties ◽  
Coefficient Inequalities

AbstractIn 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 [

On the geometrical properties of some classes of complex harmonic functions defined by analytic or coefficient conditions with complex parameter

2014 ◽  
Vol 20 (1) ◽  
Author(s):  
Agnieszka Sibelska
Keyword(s):  
Harmonic Functions ◽  
Complex Parameter ◽  
Geometric Properties ◽  
Geometrical Properties

Abstract.In the paper there are determined, for some classes defined by coefficient or analytic conditions, the sets of complex parameter γ, for which all the functions of the appropriate family have some geometrical properties. There are also provided the examples of the mappings showing that some inclusions between classes are impossible or confirming that sets of the parameter γ cannot be extended in some cases without loss of these geometric properties.

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