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Certain Properties of a Class of Close‐to‐Convex Functions Related to Conic Domains

Author

Listed:
  • Wasim Ul-Haq
  • Shahid Mahmood

Abstract

We aim to de fine a new class of close‐to‐convex functions which is related to conic domains. Many interesting properties such as sufficiency criteria, inclusion results, and integral preserving properties are investigated here. Some interesting consequences of our results are also observed.

Suggested Citation

  • Wasim Ul-Haq & Shahid Mahmood, 2013. "Certain Properties of a Class of Close‐to‐Convex Functions Related to Conic Domains," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:847287
    DOI: 10.1155/2013/847287
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    References listed on IDEAS

    as
    1. Khalida Inayat Noor, 1987. "On quasi-convex functions and related topics," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 10, pages 1-18, January.
    2. K. G. Subramanian & T. V. Sudharsan & Herb Silverman, 2003. "On uniformly close-to-convex functions and uniformly quasiconvex functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-6, January.
    3. Saeid Shams & S. R. Kulkarni & Jay M. Jahangiri, 2004. "Classes of uniformly starlike and convex functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-3, January.
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