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On subclasses of close-to-convex functions of higher order

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  • Khalida Inayat Noor

Abstract

The classes T k ( ρ ) , 0 ≤ ρ < 1 , k ≥ 2 , of analytic functions, using the class V k ( ρ ) of functions of bounded boundary rotation, are defined and it is shown that the functions in these classes are close-to-convex of higher order. Covering theorem, arc-length result and some radii problems are solved. We also discuss some properties of the class V k ( ρ ) including distortion and coefficient results.

Suggested Citation

  • Khalida Inayat Noor, 1992. "On subclasses of close-to-convex functions of higher order," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 15, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:172459
    DOI: 10.1155/S016117129200036X
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    Cited by:

    1. Lokesh Vijayvargy & Pranay Goswami & Bushra Malik, 2011. "On Some Integral Operators for Certain Classes of -Valent Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2011, pages 1-10, May.
    2. S. Mustafa & P. Goswami & S. K. Lee & M. Arif, 2014. "Some radii problems related to certain p-valent meromorphic functions," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(3), pages 311-320, June.
    3. Tamer M. Seoudy, 2014. "Inclusion Properties of Certain Subclasses of -Valent Functions Associated with the Integral Operator," Journal of Mathematics, Hindawi, vol. 2014, pages 1-4, May.

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