Zeros of regular functions and polynomials of a quaternionic variable

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Extension results for slice regular functions of a quaternionic variable (2009, background): “Since then, the theory has been extensively studied in a series of papers which show the richness of this class of functions (see for example [1,11] and [12]).”
On the Multiplicity of Zeroes of Polynomials with Quaternionic Coefficients (2008, background): “this definition, it is therefore clear that Example 1.5 shows that the degree of a polynomial can exceed the sum of the multiplicities of its roots, see [ 1 ].”
Entire slice regular functions (2015, background): “were treated in [103, 105, 111] while further properties can be found in [33, 44, 85, 92, 93, 102, 140, 141, 150, 151, 152, 154].”
Power series and analyticity over the quaternions (2009, background): “Hence the theory of regular quaternionic functions, which is quickly developing, reveals a new feature that reminds the nice properties of holomorphic complex functions.”
A new series expansion for slice regular functions (2011, background): “The following notion of multiplicity was introduced in [7].”
Twistor transforms of quaternionic functions and orthogonal complex structures (2012, background): “It turns out that this algebraic structure is strictly related to the distribution of the zeros (see [12, 14, 16]).”
Regular Functions of a Quaternionic Variable (2013, methodology): “The following result was indeed proven in [23] (in [24] for the special case of power series).”