The Weierstrass factorization theorem for slice regular functions over the quaternions
Copyright policy )The Weierstrass factorization theorem for slice regular functions over the quaternions
Slice regular (monogenic) functions of one quaternionic variable are recently in the research interest of people working in quaternion analysis. Based on Cullen regularity a weak notion of differentialbility of quaternion-valued functions is considered. This weakness allows to get a full spectrum of results analogous to those in classical complex analysis. The main content of this article is the deduction of a Weierstrass factorization theorem for such slice regular (monogenic) functions. The paper is very well readable and gives a good introduction to this interesting topic.
- University of Florence Italy
- New York University Italy
slice regular functions, Weierstrass factorization theorem, Functions of a quaternionic variable; Weierstrass Factorization Theorem., Functions of hypercomplex variables and generalized variables, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Power series (including lacunary series) in one complex variable
slice regular functions, Weierstrass factorization theorem, Functions of a quaternionic variable; Weierstrass Factorization Theorem., Functions of hypercomplex variables and generalized variables, Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral), Power series (including lacunary series) in one complex variable
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