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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.10 No.4

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ON THE FEKETE-SZEG？O PROBLEMFOR CERTAIN ANALYTIC FUNCTIONS

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2003, v.10 no.4, pp.265-271
Kwon, Oh-Sang
Cho, Nak-Eun
Kwon,, O. , & Cho,, N. (2003). ON THE FEKETE-SZEG？O PROBLEMFOR CERTAIN ANALYTIC FUNCTIONS, 10(4), 265-271.

Abstract

Let $CS_\alpha(\beta)$ denote the class of normalized strongly $\alpha$-close-to-convex functions of order $\beta$, defined in the open unit disk $\cal{U}$ of $\mathbb{C}$${\mid}arg{(1-{\alpha})\frac{f(z)}{g(z)}+{\alpha}\frac{zf'(z)}{g(z)}}{\mid}\;\leq\frac{\pi}{2}{\beta}(\alpha,\beta\geq0)$ such that $g\; \in\;S^{\ask}$, the class of normalized starlike unctions. In this paper, we obtain the sharp Fekete-Szego inequalities for functions belonging to $CS_\alpha(\beta)$.

keywords
univalent, starlike, Fekete-Szego problem, close-to-star, close-to-convex, strongly <tex> $\alpha$</tex>-close-to-convex

Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics

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