Certain properties of a class of close-to-convex functions related to conic domains. (English) Zbl 1272.30030

Ul-Haq, Wasim; Mahmood, Shahid

Abstr. Appl. Anal. 2013, Article ID 847287, 6 p. (2013).

Summary: We aim to define 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.

MSC:

30C45

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

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