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Functions in the Unit Disc

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Part of the book series: Problem Books in Mathematics ((PBM))

Abstract

If you are looking for a problem to captivate you, this chapter should meet your needs. While some problems from the “old” lists have been solved or partially resolved, there still is a treasure trove of problems for those willing to be bounded by the unit disc. Among them some interesting coefficient problems and some problems about symmetrisation are looking for solutions. Will you be snared by a conjecture of Littlewood?

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Hayman, W.K., Lingham, E.F. (2019). Functions in the Unit Disc. In: Research Problems in Function Theory. Problem Books in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-030-25165-9_5

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