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Canadian Journal of Mathematics, 1970
In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.
F. R. Keogh, J. L. Frank, T. Basgoze
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In what follows, we suppose that ƒ(z) = Σ0∞anzn is regular for |z| < 1. LetandThen (see, for example, [6, pp. 235-236]), for 0 ≦ r < ρ < 1, we have:The following results are well known.
F. R. Keogh, J. L. Frank, T. Basgoze
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On the univalency of regular functions [PDF]
Annali di Matematica Pura ed Applicata, 1993 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Series of univalent functions [PDF]
Mathematical Notes of the Academy of Sciences of the USSR, 1978 We are considering a class S of functions F(z), F(0) = 0, F′(0) = 1 that are univalent and regular in the circle ¦z¦ < 1, and its subclasses s h * and K of starlike functions of order h and of convex functions respectively. Among others, we establish the following results: If F(z)es and 0 < α < 1, then IfF (z) e s (0 < a < 1) and $$\begin ...
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The Univalent Functions of a Family [PDF]
Journal of the London Mathematical Society, 1960 openaire +2 more sources
On the coefficients of univalent functions
Mathematical Proceedings of the Cambridge Philosophical Society, 1959openaire +3 more sources