Second order differential equations special functions and their classification /
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...
| Main Author: | Kristensson, Gerhard, 1949- |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
New York :
Springer Science+Business Media, LLC,
©2010.
New York : [2010] |
| Physical Description: |
1 online resource (xii, 219 pages) : illustrations. |
| Subjects: |
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| 100 | 1 | |a Kristensson, Gerhard, |d 1949- |1 https://id.oclc.org/worldcat/entity/E39PCjr99vQpgpQ4BJDDjQPqQq. | |
| 245 | 1 | 0 | |a Second order differential equations : |b special functions and their classification / |c Gerhard Kristensson. |
| 260 | |a New York : |b Springer Science+Business Media, LLC, |c ©2010. | ||
| 264 | 1 | |a New York : |b Springer Science+Business Media, LLC, |c [2010] | |
| 264 | 4 | |c ©2010. | |
| 300 | |a 1 online resource (xii, 219 pages) : |b illustrations. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
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| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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 -- The gamma function and related functions -- Difference equations -- Partial fractions -- Circles and ellipses in the complex plane -- Elementary and special functions. | |
| 520 | |a 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 focusing on the systematic treatment and classification of these solutions. -- Back Cover. | ||
| 520 | |a 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 Poincare-Perron theory, and the appendix also contains an alternative way of analyzing the asymptomatic behavior of solutions of difference equations. -- Back Cover. | ||
| 520 | |a This textbook is appropriate For advanced undergraduate and graduate students in Mathematics, Physics, and Engineering interested in Ordinary and Partial Differential Equations. A solutions manual is available online at springer.com. --Back Cover. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Functions, Special. | |
| 650 | 0 | |a Differential equations. | |
| 650 | 6 | |a Fonctions spéciales. | |
| 650 | 6 | |a Équations différentielles. | |
| 650 | 7 | |a Funciones especiales. |2 embne. | |
| 650 | 7 | |a Ecuaciones diferenciales. |2 embne. | |
| 650 | 7 | |a Differential equations. |2 fast. | |
| 650 | 7 | |a Functions, Special. |2 fast. | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 776 | 0 | 8 | |i Print version: |a Kristensson, Gerhard. |t Second order differential equations |z 9781441970190. |
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