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The Schwarzian derivative and estimates of functions analytic in the unit disc

Published online by Cambridge University Press:  24 October 2008

Matts Essén
Affiliation:
Royal Institute of Technology, Stockholm and University of Kentucky
F. R. Keogh
Affiliation:
Royal Institute of Technology, Stockholm and University of Kentucky

Extract

Suppose that w is analytic in the open unit disc Δ in the z-plane. The Schwarzian derivative of w is defined by

(for basic properties of {w, z} we refer to Hille ((3), p. 375)). Let denote the class of functions w which are analytic in Δ and satisfy the conditions

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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