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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  and
F. R. Keogh
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
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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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 78 , Issue 3 , November 1975 , pp. 501 - 511
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

REFERENCES

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(3)Hille, E.Analytic function theory, vol. 2 (Ginn and Company, 1962).Google Scholar
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