QA261 : Harmonic Prestarlike Functions in the unitdisk
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2014
Authors:
Maryam Mohajer Esterabadi [Author], Ahmad Motamednezhad[Supervisor]
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 univaalence criteria and sufficient coefficient conditions for normalized harmonic functions that are pre 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 Fuction #Univalent #Starlike Fuctions #Prestarlike Fuctions. Link
Keeping place: Central Library of Shahrood University
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