PROPERTIES OF SOME FAMILIES OF MEROMORPHIC MULTIVALENT FUNCTIONS WITH POSITIVE COEFFICIENTS INVOLVING CERTAIN LINEAR OPERATOR | ||
| Al-Mustansiriyah Journal of Science | ||
| Article 1, Volume 27, Issue 2, April 2016, Pages 95-104 | ||
| Author | ||
| Abdul Rahman S. Juma | ||
| Abstract | ||
| Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we introduce two novel subclasses M_(a,c,λ) [p,A,B,λ] and ∑_(p,a,c,λ)^*▒[λ,β] of meromorphically multivalent functions. In this paper, we obtain coefficient estimates, distortion theorems, radii of starlikeness and convexity and partial sums for the class M_(a,c,λ) [p,A,B,λ]. We also derive many interesting results for the Hadamard products of functions belonging to the class M_(a,c,λ) [p,A,B,λ]. | ||
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