Entire slice regular functions / Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.

1 Introduction; 2 Slice Regular Functions: Algebra; 2.1 Definition and Main Results; 2.2 The Representation Formula; 2.3 Multiplication of Slice Regular Functions; 2.4 Quaternionic Intrinsic Functions; 2.5 Composition of Power Series; 3 Slice Regular Functions: Analysis; 3.1 Some Integral Formulas; 3.2 Riemann Mapping Theorem; 3.3 Zeros of Slice Regular Functions; 3.4 Modulus of a Slice Regular Function and Ehrenpreis
Malgrange Lemma; 3.5 Cartan Theorem; 4 Slice Regular Infinite Products; 4.1 Infinite Products of Quaternions; 4.2 Infinite Products of Functions

4.3 Weierstrass Factorization Theorem4.4 Blaschke Products; 5 Growth of Entire Slice Regular Functions; 5.1 Growth Scale; 5.2 Jensen Theorem; 5.3 Carathéodory Theorem; 5.4 Growth of the -Product of Entire Slice Regular Functions; 5.5 Almost Universal Entire Functions; 5.6 Entire Slice Regular Functions of Exponential Type; References; Index