QA161 : Harmonic Starlike Functions
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2013
Authors:
Jamaladdin Yarali [Author], Ahmad Motamednezhad[Supervisor], Seyed Reza Musawi[Advisor]
Abstarct: Complex-valued harmonic functions that are univalent and sense-preserving in the unit disk ∆ can be written in the form f = h+ ¯ g, where h and g are analytic in ∆. We give univalence criteria and sufficient coefficient conditions for normalized harmonic functions that are starlike. These coefficient conditions are also shown to be necessary when h has negative and g has positive coefficients. These lead to extreme points and distortion bounds.
Keywords:
#harmonic #stralike #harmonic convex Link
Keeping place: Central Library of Shahrood University
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