Geometric function theory in one and higher dimensions
[Book]
/ Ian Graham, Gabriela Kohr
New York
: Marcel Dekker,
, c2003.
xv, 530 p. , ill. , 24 cm.
(Monographs and textbooks in pure and applied mathematics
; 255)
Electronic
Includes bibliographical references (p. 477-520) and index.
Elementary properties of univalent functions -- Subclasses of univalent functions in the unit disc -- The Loewner theory -- Bloch functions and the Bloch constant -- Linear invariance in the unit disc -- Univalence in several complex variables -- Growth, covering and distortion results for starlike and convex mappings in Cn and complex Banach spaces -- Loewner chains in several complex variables -- Bloch constant problems in several complex variables -- Linear invariance in several complex variables -- Univalent mappings and the Roper-Suffridge extension operator.