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Integral means for univalent functions with negative coefficients. (English) Zbl 1163.30312

Summary: Making use of a certain linear operator, we obtain an integral means inequalitiy for functions belonging to the class \(TS(a,c;\alpha,\beta)\) of analytic and univalent functions with negative coefficients defined in [G. Murugusundaramoorthy and N. Magesh, JIPAM, J. Inequal. Pure Appl. Math. 7, No. 4, Paper No. 152, 9 p., electronic only (2006; Zbl 1131.30315)] with the extremal functions in this class.

MSC:

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

Citations:

Zbl 1131.30315
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