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Zbl 1228.30022
Arif, Muhammad; Raza, Mohsan; Noor, Khalida Inayat; Malik, Sarfraz Nawaz
On strongly Bazilevic functions associated with generalized Robertson functions. (English)
[J] Math. Comput. Modelling 54, No. 5-6, 1608-1612 (2011). ISSN 0895-7177

Summary: We define a class $\tilde{B}_k(\alpha,\rho,\beta,\gamma)$ of analytic functions by using a generalized Robertson function which generalizes a number of classes studied earlier such as the class of strongly Bazilevic functions. Some interesting properties of this class, including coefficient difference problems, arc length and a sufficient condition for univalency, are investigated.

MSC 2000:: *30D15 Special classes of entire functions

Keywords: close-to-convex functions; strongly Bazilevic functions; Robertson function; bounded boundary rotations

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