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- W2330723311 abstract "Let U be the class of all normalized analytic functions where z ∈ E = { z : |z | < 1} and ƒ is univalent in E. Let K denote the sub-class of U consisting of those members that map E onto a convex domain. MacGregor [ 2 ] showed that if ƒ 1 ∈ K and ƒ 2 ∈ K and if 1 then F ∉ K when λ is real and 0 < λ < 1, and the radius of univalency and starlikeness for F is . In this paper, we examine the expression (1) when ƒ 1 ∈ K, ƒ 2 ∈ K and λ is a complex constant and find the radius of starlikeness for such a linear combination of complex functions with complex coefficients." @default.
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- W2330723311 date "1971-08-01" @default.
- W2330723311 modified "2023-09-29" @default.
- W2330723311 title "Linear Combinations of Univalent Functions with Complex Coefficients" @default.
- W2330723311 doi "https://doi.org/10.4153/cjm-1971-080-6" @default.
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