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Extension of Nunokawa Lemma for Functions with Fixed Second Coefficient and Its Applications

Extension of Nunokawa Lemma for Functions with Fixed Second Coefficient and Its Applications

In this paper, we study some properties of analytic functions with fixed initial coefficients. The methodology of differential subordination is used for modification and improvements of several well-known results for subclasses of univalent functions by restricting the functions with fixed initial coefficients. Actually, by extending the Nunokawa lemma for fixed …