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   new subclasses of meromorphic bi-univalent functions by associated with ‎subordinate  
   
نویسنده salehian safa ,motamednezhad ahmad
منبع international journal of nonlinear analysis and applications - 2021 - دوره : 12 - شماره : 2 - صفحه:61 -74
چکیده    ‎in the present paper‎, ‎we define two subclasses $sigma(lambda‎, ‎alpha‎, ‎beta)$‎, ‎$sigma_{mathcal c}(alpha‎, ‎beta)$ of meromorphic univalent functions and subclass $sigma_{{mathcal b},{mathcal c}}(alpha‎, ‎beta‎, ‎lambda)$ of meromorphic bi-univalent functions‎. ‎furthermore‎, ‎we obtain estimates on the general coefficients $|b_n|~(n ge1)$ for functions in the subclasses $sigma(lambda‎, ‎alpha‎, ‎beta)$‎, ‎$sigma_{mathcal c}(alpha‎, ‎beta)$ and estimates for the early coefficients of functions in subclass $sigma_{{mathcal b},{mathcal c}}(alpha‎, ‎beta‎, ‎lambda)$ by associated subordination‎. ‎the results obtained in this paper would generalize and improve those in related works of several earlier authors‎.
کلیدواژه meromorphic univalent functions‎، ‎meromorphic bi-univalent functions‎، ‎coefficients estimates‎، ‎subordinate
آدرس islamic azad university, gorgan branch, department of mathematics, iran, shahrood university of technology, faculty of mathematical sciences, iran
پست الکترونیکی a.motamedne@gmail.com
 
     
   
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