q-starlike functions of order alpha

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Polatoğlu Y., UÇAR F., YILMAZ B.

Turkish World Mathematical Society Journal of Applied and Engineering Mathematics, vol.8, no.1, pp.186-192, 2018 (Scopus)

• Publication Type: Article / Article
• Volume: 8 Issue: 1
• Publication Date: 2018
• Doi Number: 10.26837/jaem.428337
• Journal Name: Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
• Journal Indexes: Scopus, TR DİZİN (ULAKBİM)
• Page Numbers: pp.186-192
• Keywords: Coefficient inequality, Distortion theorem, Growth theorem, Q-starlike functions
• Istanbul Kültür University Affiliated: Yes

Abstract

For all q ∈ (0, 1) and 0 ≤ α < 1 we define a class of analytic functions, so-called q-starlike functions of order α on the open unit disc D = [z: |z| < 1]: We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order α.