Second Order Differential Equations Special Functions and Their Classification /

• Main Author: Kristensson, Gerhard (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Subjects: Mathematics.; Difference equations.; Functional equations.; Functions of complex variables.; Differential equations.; Special functions.; Ordinary Differential Equations.; Special Functions.; Functions of a Complex Variable.; Difference and Functional Equations.

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:

• Basic properties of the solutions
• Equations of 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.