On uniformly close-to-convex functions and uniformly quasiconvex functions.
Neighbourhoods and partial sums of starlike functions based on Ruscheweyh derivatives.
Convolution conditions for spirallikeness and convex spirallikeness of certain meromorphic -valent functions.
Classes of convex functions.
A class of multivalent functions with positive coefficients defined by convolution.
Convolution properties of classes of analytic and meromorphic functions.
A class of analytic functions based on an extension of Al-Oboudi operator.
A third-order differential equation and starlikeness of a double integral operator.
On differential subordinations for a class of analytic functions defined by a linear operator.
Neighborhoods of starlike and convex functions associated with parabola.
Differential subordination and convexity criteria of integral operators
A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk. As a consequence, criteria for convexity of functions defined by integral operators are determined. Connections are also made to earlier known results.
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