Second Order Differential Equations Special Functions and Their Classification /

• Main Author: Kristensson, Gerhard. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Subjects: Mathematics.; Functional equations.; Functions of complex variables.; Differential Equations.; Functions, special.; Ordinary Differential Equations.; Special Functions.; Functions of a Complex Variable.; Difference and Functional Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-7020-6

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-orde...

Table of Contents:

• Preface
• Introduction
• Basic Properties of the Solutions
• Equations of the Fuchsian Type
• Equations with One to Four Regular Singular Points
• The Hypergeometric Differential Equation
• Legendre Functions and Related Functions
• Confluent Hypergeometric Functions
• Heun's Differential Equation
• The Gamma Function and Related Functions
• Difference Equations
• Partial Fractions
• Circles and Ellipses in the Complex Plane
• Elementary and Special Functions
• Notation
• Bibliography
• Index.