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Starlikeness criteria for a certain class of analytic functions

✍ Scribed by S. Ponnusamy

Publisher: Elsevier Science
Year: 2011
Tongue: English
Weight: 224 KB
Volume: 24
Category: Article
ISSN: 0893-9659
DOI: 10.1016/j.aml.2010.10.033

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✦ Synopsis

We denote by A, the class of all analytic functions f in the unit disc ∆ = {z ∈ C : |z| < 1} with the normalization f (0) = f ′ (0) -1 = 0. For a positive number λ > 0, we denote by

∈ A, such that a 3 -a 2 2 = 0, and satisfying the condition

In this paper, we find conditions on λ, α and γ such that U 3 (λ) is included in the class of all starlike functions of order α, or the class of all strongly starlike functions of order γ , or SR(γ ), respectively.

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