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Quasi-convolution properties of certain subclasses of analytic functions. (English) Zbl 1134.30311
Summary: Two subclasses \({\mathcal A}(p,n,\alpha)\) and \({\mathcal B}(p,n,\alpha)\) of analytic functions in the open unit disk are introduced. The object of the present paper is to give a number of quasi-convolution properties of functions belonging to each of the classes \({\mathcal A}(p,n,\alpha)\) and \({\mathcal B}(p,n,\alpha)\). For various earlier works, relevant to the present investigation, we refer to [S. Owa, in:Current topics in analytic function theory. Singapore: World Scientific. 234–251 (1992; Zbl 0991.30009) and R. Yamakawa, ibid. 393–402 (1992; Zbl 0992.30502)].
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
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