Growth of Entire Slice Regular Functions

  • Fabrizio Colombo
  • Irene SabadiniEmail author
  • Daniele C. Struppa
Part of the SpringerBriefs in Mathematics book series (BRIEFSMATH)


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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© The Author(s) 2016

Authors and Affiliations

  • Fabrizio Colombo
    • 1
  • Irene Sabadini
    • 1
    Email author
  • Daniele C. Struppa
    • 2
  1. 1.Dipartimento di MatematicaPolitecnico di MilanoMilanItaly
  2. 2.Schmid College of Science and TechnologyChapman UniversityOrangeUSA

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