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Heun’s differential equation

  • Gerhard Kristensson
Chapter

Abstract

The solutions to the hypergeometric differential equation ― two regular singular points in the finite complex plane (at z = 0 and z = 1) and a regular singular point at infinity ― were analyzed in detail in Chapter 5. In this chapter, the solutions of the differential equation with four regular singular points are investigated. We restrict ourselves to the situation where there are three regular singular points in the finite complex plane, and a regular singular point at infinity.

Keywords

Power Series Unit Circle Recursion Relation Exceptional Case Jacobi Polynomial 
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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.Department of Electrical and Information TechnologyLund UniversityLundSweden

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