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On Uniformly Bazilevic and Related Functions

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  • Khalida Inayat Noor

Abstract

We introduce a new class of functions analytic in the open unit disc, which contains the class of Bazilevic functions and also generalizes the concept of uniform convexity. We establish univalence criterion for the functions in this class and investigate rate of growth of coefficients, arc length problem, inclusion results, and distortion bounds. Some interesting results are derived as special cases.

Suggested Citation

  • Khalida Inayat Noor, 2012. "On Uniformly Bazilevic and Related Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:345261
    DOI: 10.1155/2012/345261
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    References listed on IDEAS

    as
    1. Stanisława Kanas, 2003. "Techniques of the differential subordination for domains bounded by conic sections," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-12, January.
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