Neighborhood properties of certain classes of multivalently analytic functions associated with the convolution structure |
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| Authors: | HM Srivastava Serap Bulut |
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| Institution: | a Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada
b Department of Mathematics, Civil Aviation College, Kocaeli University (Arslanbey Campus), TR-41285 ?zmit-Kocaeli, Turkey |
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| Abstract: | In this paper, by making use of the familiar concept of neighborhoods of p-valently analytic functions, we prove coefficient bounds, distortion inequalities and associated inclusion relations for the (n, δ)-neighborhoods of a family of p-valently analytic functions and their derivatives, which is defined by means of a certain general family of non-homogenous Cauchy-Euler differential equations. |
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| Keywords: | Analytic functions Starlike and convex functions Multivalent functions Hadamard product (or convolution) Coefficient bounds Distortion inequalities Neighborhood properties Non-homogeneous Cauchy-Euler differential equations |
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