Abstract
The aim of the present book is a unified representation of some recent results in geometric function theory together with a consideration of their historical sources. These results are concerned with functions f holomorphic or meromorphic in a domain Ω in the extended complex plane ℂ. The only additional condition we impose on these functions is the condition that the range f(Ω) is contained in a given domain ∏ ⊂ ℂ. This fact will be denoted by f ∈ A(Ω, п). We shall describe how one may get estimates for the derivatives |f(n) (z0)|, n ∈ ℕ, f ∈ A (Ω, ∏) dependent on the position of z 0 in Ω and f(z0) in п.
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© 2009 Birkhäuser Verlag AG
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(2009). Introduction. In: Schwarz-Pick Type Inequalities. Frontiers in Mathematics. Birkhäuser Basel. https://doi.org/10.1007/978-3-0346-0000-2_1
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DOI: https://doi.org/10.1007/978-3-0346-0000-2_1
Publisher Name: Birkhäuser Basel
Print ISBN: 978-3-7643-9999-3
Online ISBN: 978-3-0346-0000-2
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