M. K. Aouf, Rabha Mohamed El-Ashwah, Hanaa M. Zayed
Abstract
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In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.
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In this paper, we obtain Fekete–Szegö inequalities for a certain class of meromorphic functions f(z) for which -zf′(z)+αz2f″(z)(1-α)f(z)+αzf′(z)≺φ(z)(α∈C-(0,1]). Sharp bounds for the Fekete–Szegö functional a1-μa02 are obtained.
Key concepts: Mathematics, Meromorphic function, Inequality, Class (philosophy), Pure mathematics, Mathematical economics, Mathematical analysis, Epistemology