It is well-known that the classes of starlike, convex and close-to-convex univalent functions are closed under convolution with convex functions. In this paper, closure properties under convolution of general classes of meromorphic p-valent functions that are either starlike, convex or close-to-convex with respect to n-ply symmetric, conjugate and symmetric conjugate points are investigated. 20...

The criteria that embed a normalized analytic function in the class of functions that are starlike with respect to N-symmetric points are presented. The criteria are based on the quotient of analytical representations of starlikeness and convexity with respect to N -symmetric points. AMS Mathematics Subject Classification (2000): 30C45

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In this paper we introduce a class of strongly starlike functions of order α and type β with respect to symmetric points and investigate the neighborhoods and coefficients bounds of such functions.