Abstract
In this chapter we study the growth of entire slice regular functions and we relate it with the coefficients of the power series expansion of a function. We prove some brand new results, like the Jensen and Carathéodory theorem. These results are not immediate extensions of the analogous results in the complex setting. We then discuss a property of almost universality of entire slice regular functions. We conclude the chapter discussing functions of exponential type and the Borel transform.
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Colombo, F., Sabadini, I., Struppa, D.C. (2016). Growth of Entire Slice Regular Functions. In: Entire Slice Regular Functions. SpringerBriefs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-49265-0_5
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DOI: https://doi.org/10.1007/978-3-319-49265-0_5
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-49264-3
Online ISBN: 978-3-319-49265-0
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