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