دوره 15، شماره 2 - ( 7-1399 )
جلد 15 شماره 2 صفحات 60-51 |
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K. Wanas A, H. Majeed A. On Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions. IJMSI 2020; 15 (2) :51-60
URL: http://ijmsi.ir/article-1-1133-fa.html
URL: http://ijmsi.ir/article-1-1133-fa.html
On Subclasses of Analytic and m-Fold Symmetric Bi-Univalent Functions. مجله علوم ریاضی و انفورماتیک. 1399; 15 (2) :51-60
چکیده:
The purpose of the present paper is to introduce and investigate two new subclasses 𝒦𝛴𝑚(𝜆,𝛾;𝛼) and 𝒦∗𝛴𝑚(𝜆,𝛾;𝛽) of 𝛴𝑚 consisting of analytic and 𝑚-fold symmetric bi-univalent functions defined in the open unit disk 𝑈. We obtain upper bounds for the coefficients |𝑎𝑚+1| and |𝑎𝑚| for functions belonging to these subclasses. Many of the well-known and new results are shown to follow as special cases of our results.
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