Second Order Differential Equations

Special Functions and Their Classification

  • Gerhard Kristensson

Table of contents

  1. Front Matter
    Pages i-xii
  2. Gerhard Kristensson
    Pages 1-2
  3. Gerhard Kristensson
    Pages 3-27
  4. Gerhard Kristensson
    Pages 29-42
  5. Gerhard Kristensson
    Pages 43-59
  6. Gerhard Kristensson
    Pages 61-105
  7. Gerhard Kristensson
    Pages 107-122
  8. Gerhard Kristensson
    Pages 123-139
  9. Gerhard Kristensson
    Pages 141-162
  10. Back Matter
    Pages 163-219

About this book


Second Order Differential Equations presents a classical piece of theory concerning hypergeometric special functions as solutions of second-order linear differential equations. The theory is presented in an entirely self-contained way, starting with an introduction of the solution of the second-order differential equations and then focusingon the systematic treatment and classification of these solutions.

Each chapter contains a set of problems which help reinforce the theory. Some of the preliminaries are covered in appendices at the end of the book, one of which provides an introduction to Poincaré-Perron theory, and the appendix also contains a new way of analyzing the asymptomatic behavior of solutions of differential equations.

This textbook is appropriate for advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differntial Equations. A solutions manual is available online.


Heun Equation Partial Differential Equations Poincaré-Perron Theory gamma function partial differential equation

Authors and affiliations

  • Gerhard Kristensson
    • 1
  1. 1., Department of ElectricalLund UniversityLundSweden

Bibliographic information