Fekete–Szegö inequalities for certain class of meromorphic functions

Fekete–Szegö inequalities for certain class of meromorphic functions

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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Veröffentlicht in:Journal of the Egyptian Mathematical Society 2013-10, Vol.21 (3), p.197-200
Hauptverfasser: Aouf, M.K., El-Ashwah, R.M., Zayed, H.M.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic
Convolution
Fekete–Szegö problem
Meromorphic
Starlike and convex functions
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Zusammenfassung: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.
ISSN:1110-256X
2090-9128
DOI:10.1016/j.joems.2013.03.013