TY  - BOOK
AU  - Kristensson,Gerhard
ED  - SpringerLink (Online service)
TI  - Second Order Differential Equations: Special Functions and Their Classification 
SN  - 9781441970206
AV  - QA372 
U1  - 515.352 23
PY  - 2010///
CY  - New York, NY
PB  - Springer New York
KW  - Mathematics
KW  - Functional equations
KW  - Functions of complex variables
KW  - Differential Equations
KW  - Functions, special
KW  - Ordinary Differential Equations
KW  - Special Functions
KW  - Functions of a Complex Variable
KW  - Difference and Functional Equations
N1  - 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
N2  - 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
UR  - http://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7020-6
ER  -