A Class of Univalent Convolutions of Harmonic Mappings

A planar harmonic mapping is a complex-valued function ƒ : D → C of the form ƒ(x+iy) = u(x,y) + iv(x,y), where u and v are both real harmonic. Such a function can be written as ƒ = h+g where h and g are both analytic; the function w = g'/h' is called the dilatation of ƒ. This thesis consid...

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Bibliographic Details
Main Author: Romney, Matthew Daniel
Format: Others
Published: BYU ScholarsArchive 2013
Subjects:
Online Access:https://scholarsarchive.byu.edu/etd/4169
https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=5168&context=etd