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

Khalida Inayat Noor

International Journal of Mathematics and Mathematical Sciences, 1992, vol. 15, 1-11

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.

Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:172459

DOI: 10.1155/S016117129200036X

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