Regular Functions of a Quaternionic Variable

• Main Authors: Gentili, Graziano. (Author), Stoppato, Caterina. (Author), Struppa, Daniele C. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Functions of complex variables.; Sequences (Mathematics).; Functions of a Complex Variable.; Sequences, Series, Summability.; Functional Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-33871-7

The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed...

Table of Contents:

• Introduction
• 1.Definitions and Basic Results
• 2.Regular Power Series
• 3.Zeros
• 4.Infinite Products
• 5.Singularities
• 6.Integral Representations
• 7.Maximum Modulus Theorem and Applications
• 8.Spherical Series and Differential
• 9.Fractional Transformations and the Unit Ball
• 10.Generalizations and Applications
• Bibliography
• Index.