- 期刊
ON RADII OF CONVEXITY AND STARLIKENESS OF SOME CLASSES OF ANALYTIC FUNCTIONS
並列摘要
Let P[A, B],-1 ≤ B ＜A ≤ 1, be the class of functions p such that p(z) is subordinate to 1+Az/1+Bz. Let P(α_1) be the class of functions with positive real part greater than α_1, 0 ≤ α_1 ≤ 1. It is clear that P[A, B] ⊂ P(1-A/1-B) ⊂ P[1,-1]. The principal results in this paper are the determination of the radius of β-starlikeness and β-convexity of f(z) with β=1-A/1-B, when f(z) is restricted to certain classes of univalent and analytic functions related with P[A, B].
延伸閱讀
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