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On the physical interpretation of some types of three-dimensional harmonic mappings
harmonic mapping electrostatics General Physics
2012/5/28
The development of the theory of three-dimensional harmonic mappings is considered. The new classes of mappings that generate three-dimensional harmonic functions are introduced. The physical interpre...
We prove the following theorem: every quasiconformal harmonic mapping between two plane domains with $C^{1,\alpha}$ ($\alpha<1$), respectively $C^{1,1}$ compact boundary is bi-Lipschitz. The distance ...
ERRATA: Inequalities Associating Hypergeometric Functions with Planer Harmonic Mappings
Errata Planar harmonic mappings hypergeometric functions
2008/7/1
The purpose of this note is to give some corrections for our published article in [1].
Inequalities Associating Hypergeometric Functions With Planer Harmonic Mappings
Planer harmonic mappings Hypergeometric functions Convolution multipliers Harmonic starlike Harmonic convex Inequalities
2008/7/1
Though connections between a well established theory of analytic univalent functions and hypergeometric functions have been investigated by several researchers, yet analogous connections between plane...
Starlike log-harmonic Mappings of Order $alpha $
log-harmonic Univalent Starlike of order $alpha $
2008/6/26
Starlike log-harmonic Mappings of Order $alpha $.
We consider the class SH(D,W ) of complex functions f which are univalent, harmonic, sense preserving on a simple connected domain D\neq {\Bbb C} \ containing the origin, satisfy f(0)=a0, f\bar z(0)=0...