<p><p>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 deve
Regular functions of a quaternionic variable
β Scribed by Graziano Gentili; Caterina Stoppato; Daniele C Struppa
- Publisher
- Springer
- Year
- 2013
- Tongue
- English
- Leaves
- 202
- Series
- Springer monographs in mathematics
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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
π SIMILAR VOLUMES
<p><span>This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.</span></p><p><span>As in the case of other interesting quaternionic function theories, the original motivations
<p><span>This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.</span></p><p><span>As in the case of other interesting quaternionic function theories, the original motivations
<p><span>This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.</span></p><p><span>As in the case of other interesting quaternionic function theories, the original motivations
<p><p></p><p>This book presents the extensions to the quaternionic setting of some of the main approximation results in complex analysis. It also includes the main inequalities regarding the behavior of the derivatives of polynomials with quaternionic cofficients. With some few exceptions, all the m