Structure formulas for univalent functions
β Scribed by I. A. Lebedev
- Publisher
- Springer US
- Year
- 1984
- Tongue
- English
- Weight
- 279 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1573-8795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In the family S of normalized, univalent functions, an omitted point in F β S is a complex number w0, such that there is at least one function f β F, satisfying f(z) = w0 for all |z|Β‘1: Let a set of m distinct complex numbers w1; w2; : : : ; wm all = 0, be given such that 06arg w1Β‘arg w2Β‘ β’ β’ β’ Β‘ar
We discuss two-point distortion inequalities for (not necessarily normalized) univalent functions f on the unit disk D. By a two-point distortion inequality we mean an upper or lower bound on the Euclidean distance |f(a) -f(b)| in terms of d D (a; b), the hyperbolic distance between a and b, and the