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MR530050 (82m:46056) 46J15 (30C45 46G99)
Heath, L. F.; Suffridge, T. J. Starlike, convex, close-to-convex, spiral-like, and $\Phi $-like maps in a commutative Banach algebra with identity. Trans. Amer. Math. Soc. 250 (1979), 195–212.
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