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borel-caratheodory

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Appendix F - Complex Function Theory
Kevin Broughan, University of Waikato, New Zealand
Book:

Bounded Gaps Between Primes

Published online:

10 September 2021

Print publication:

25 February 2021, pp 516-521
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Summary

This appendix gives a small number of results from complex analysis which are referred to in the book: Schwarz lemma, the Borel-Caratheodory theorem,Jensen's formula and an estimate for the logarithmic derivative of a holomorphic function on an annulus in terms of the zeros of the function.