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   a new subclass of harmonic mappings with positive coefficients  
   
نویسنده haghighi a. r. ,asghary n. ,sedghi a.
منبع journal of linear and topological algebra - 2019 - دوره : 8 - شماره : 3 - صفحه:159 -165
چکیده    ‎complexvalued harmonic functions that are univalent and‎ ‎sensepreserving in the open unit disk $u$ can be written as form‎ ‎$f =h+bar{g}$‎, ‎where $h$ and $g$ are analytic in $u$‎. ‎in this paper‎, ‎we introduce the class $s_h^1(beta)$‎, ‎where $1<betaleq 2$‎, ‎and‎ ‎consisting of harmonic univalent function $f = h+bar{g}$‎, ‎where $h$ and $g$ are in the form‎ ‎$h(z) = z+sumlimits_{n=2}^infty |a_n|z^n‎$ ‎and ‎‎$‎g(z) =‎sumlimits_{n=2}^infty |b_n|bar z^n$‎ for which‎ ‎$$mathrm{re}left{z^2(h’’(z)+g’’(z))‎ +2z(h’(z)+g’(z))(h(z)+g(z))(z1)right}<beta.$$‎ it is shown that the members of this class are convex and starlike‎. ‎we obtain distortions bounds extreme point for functions belonging to this class‎, ‎and we also show this class is closed under‎ convolution and convex combinations‎.
کلیدواژه convex combinations ,extreme points ,harmonic starlike functions ,harmonic univalent functions
آدرس technical and vocational university (tvu), department of mathematics‎, iran, islamic azad university, central tehran branch, department of mathematics, iran, islamic azad university, central tehran branch, department of mathematics, iran
پست الکترونیکی ali_sedghi1389@yahoo.com
 
     
   
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