Growth of Entire Slice Regular Functions
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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.