| A. W. Goodman, Univalent Functions, v. 2, Mariner, 1983, pp. 84---172; MR0704184 (85j:30035b). |
.... on the asymptotic behavior of one parameter semigroups of holomorphic mappings can be used to study geometric characteristics of biholomorphic functions in Banach spaces, and, in particular, star like, spiral like, convex and close to convex functions (see, for example, the review of Goodman [22] for the one dimensional case and the book by Gong [21] for the nite dimensional case) We also refer to Su ridge [47] 49] Gurganus [23] and Fan [15] for in nite dimensional approaches. Heath and Su ridge [30] considered geometric properties of analytic functions introduced by Lorch ....
A. W. Goodman, Univalent Functions, Vols. I, II, Mariner Publ. Co., Tampa, FL, 1983.
....values was first posed by Goodman [20] in 1949, restated by MacGregor [33] in his survey article in 1972, then reposed in a more general setting by Brannan [3] in 1977. It also appears in Bernardi s survey article [17] and has appeared in several open problem sets since then, including [7] 18] [21] and [34] 8 R.W. Barnard, C. Campbell, K. Pearce For a function f # S,letA(f) denote the Lebesgue measure of the set D f(D) and for 0 r 1letL(f,r) denote the Lebesgue measure of the set D f(D) # C r . Two explicit problems posed by Goodman and by Brannan were to determine A =sup f#S ....
Goodman, A.W. Univalent Functions. Mariner (1982).
No context found.
A. W. Goodman, Univalent Functions, v. 2, Mariner, 1983, pp. 84---172; MR0704184 (85j:30035b).
No context found.
A. W. Goodman, Univalent Functions, v. 1, Mariner, 1983, pp. 119---121, 193--- 197; MR0704183 (85j:30035a).
No context found.
Goodman, A.W.: Univalent functions. I, II. - Mariner, Tampa, 1983.
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