The Estimations of Modulus of Derivatives in some Classes of Univalent Functions
published by Tishreen University
in 2017
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and research's language is
العربية
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Abstract in English
Let denote the class of functions that are analytic and univalent in the unit disk such that:
Using De Brange Theorem it has been shown for the functinos of this class that the the following estimations are true:
For the Subclass ( e.i. The Class of Convex functionswhdch in analytic and univalent in unit disk) the following estimations are true.
References used
(ALEKSANDROV,I. Boundary Values of Functional on the Class of Holomorphic Functions Univalent in a Circle. Sibirsk, Mat. Z. 4 , (1963
BADDOUR,H. ARMALE, H. The estimation of Modules of Fifth Derivative for the Analytic and Univalent Functions. Damascus Univ. Journal v10. No. (37-38) 1994
BIEBERBACH, L. Uber die Koeffizienten derjenigen Potenzreihen, welche eine schlichte Abbildung des Einheitskreises vermitteln, Sitzungs -berichte Preussische Akademie der Wissenschaften, 1916, 940-955