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Xu, Qing-Hua; Srivastava, H. M.; Li, Zhou

A certain subclass of analytic and close-to-convex functions. (English) Zbl 1206.30035

Appl. Math. Lett. 24, No. 3, 396-401 (2011).
Summary: We introduce and investigate an interesting subclass \(\mathcal K_s(h)\) of close-to-convex analytic functions in the open unit disk \(\mathbb U\). For functions belonging to the class \(\mathcal K_s(h)\), we derive several properties including (for example) coefficient bounds as well as distortion and growth theorems. The various results presented here generalize many known results.

Cited in 2 Reviews
Cited in 27 Documents

MSC:

30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)

Keywords:

univalent function; starlike function; close-to-convex function; coefficient bounds; subordination principle
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\textit{Q.-H. Xu} et al., Appl. Math. Lett. 24, No. 3, 396--401 (2011; Zbl 1206.30035)
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References:

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