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Applied Pseudoanalytic Function Theory

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Cover of 'Applied Pseudoanalytic Function Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Definitions and Results from Bers’ Theory
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    Chapter 3 Solutions of Second-order Elliptic Equations as Real Components of Complex Pseudoanalytic Functions
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    Chapter 4 Formal Powers
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    Chapter 5 Cauchy’s Integral Formula
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    Chapter 6 Complex Riccati Equation
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    Chapter 7 A Representation for Solutions of the Sturm-Liouville Equation
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    Chapter 8 Spectral Problems and Darboux Transformation
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    Chapter 9 Beltrami Fields
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    Chapter 10 Static Maxwell System in Axially Symmetric Inhomogeneous Media
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    Chapter 11 Hyperbolic Numbers and Analytic Functions
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    Chapter 12 Hyperbolic Pseudoanalytic Functions
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    Chapter 13 Relationship between Hyperbolic Pseudoanalytic Functions and Solutions of the Klein-Gordon Equation
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    Chapter 14 The Dirac Equation
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    Chapter 15 Complex Second-order Elliptic Equations and Bicomplex Pseudoanalytic Functions
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    Chapter 16 Multidimensional Second-order Equations
Attention for Chapter 8: Spectral Problems and Darboux Transformation
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