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On Certain Classes of Meromorphic Functions Associated with Conic Domains

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  • Khalida Inayat Noor
  • Fiaz Amber

Abstract

Making use of the concept of k‐uniformly bounded boundary rotation and Ruscheweyh differential operator, we introduce some new classes of meromorphic functions in the punctured unit disc. Convolution technique and principle of subordination are used to investigate these classes. Inclusion results, generalized Bernardi integral operator, and rate of growth of coefficients are studied. Some interesting consequences are also derived from the main results.

Suggested Citation

  • Khalida Inayat Noor & Fiaz Amber, 2012. "On Certain Classes of Meromorphic Functions Associated with Conic Domains," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:801601
    DOI: 10.1155/2012/801601
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    References listed on IDEAS

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    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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    Cited by:

    1. Lei Shi & Zhi-Gang Wang, 2014. "On a New Criterion for Meromorphic Starlike Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).

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