On a subclass of Bazileviv c functions
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Abstract
For α>0, 0≤β<1, we denote B1(α,β) to be the class of normalised analytic functions satisfying the condition Re(f(z)z)α−1f′(z)>β for z in the unit disc D={z:|z|<1}. Sharp estimates for Re(f(z)z)α is established. In fact a more generalished result concerning iterated integrals is obtained.
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Halim, S. A. (2002). On a subclass of Bazileviv c functions. Tamkang Journal of Mathematics, 33(2), 97–102. https://doi.org/10.5556/j.tkjm.33.2002.288
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