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Supramaniam, Shamani; Chandrashekar, R.; Lee, See Keong; Subramanian, K. G.

Convexity of functions defined by differential inequalities and integral operators. (English) Zbl 1360.30014

Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 1, 147-157 (2017).
Summary: The convexity conditions for analytic functions defined in the open unit disk satisfying certain second-order and third-order differential inequalities are obtained. As a consequence, conditions for convexity of functions defined by integral operators are also determined.

Cited in 2 Documents

MSC:

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

Keywords:

convex functions; subordination
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\textit{S. Supramaniam} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 111, No. 1, 147--157 (2017; Zbl 1360.30014)
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References:

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