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Convolutions of meromorphic multivalent functions with respect to n-ply points and symmetric conjugate points
Authors:R Chandrashekar  Rosihan M Ali
Institution:a School of Mathematical Sciences, Universiti Sains Malaysia, 11800 USM, Penang, Malaysia
b Department of Mathematics, University of Delhi, Delhi 110 007, India
Abstract: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.
Keywords:Starlike and convex meromorphic multivalent functions  Subordination  Convolution  Convex hull  n-ply points  Symmetric conjugate points
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