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lgli/M_Mathematics/MC_Calculus/MCsf_Special functions/Kristensson G. Second order differential equations.. Special functions and their classification (Springer, 2010)(ISBN 1441970193)(O)(232s)_MCsf_.pdf
Second Order Differential Equations : Special Functions and Their Classification 🔍
Gerhard Kristensson (auth.) Springer-Verlag New York, 2010, PS, 2010
英语 [en] · PDF · 1.7MB · 2010 · 📘 非小说类图书 · 🚀/lgli/lgrs/nexusstc/scihub/zlib · Save
描述
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.
备用文件名
lgrsnf/M_Mathematics/MC_Calculus/MCsf_Special functions/Kristensson G. Second order differential equations.. Special functions and their classification (Springer, 2010)(ISBN 1441970193)(O)(232s)_MCsf_.pdf
备用文件名
nexusstc/Second Order Differential Equations: Special Functions and Their Classification/e6c31b03e8675f3ac6002c16f4d00527.pdf
备用文件名
scihub/10.1007/978-1-4419-7020-6.pdf
备用文件名
zlib/Mathematics/Gerhard Kristensson/Second Order Differential Equations: Special functions and their classification_740502.pdf
备选作者
Kristensson, Gerhard
备用出版商
Springer Science+Business Media, LLC
备用版本
Springer Nature (Textbooks & Major Reference Works), New York, NY, 2010
备用版本
United States, United States of America
备用版本
New York, New York State, 2010
元数据中的注释
Kolxo3 -- 29-30
元数据中的注释
sm22804990
元数据中的注释
{"edition":"1","isbns":["1441970193","1441970207","9781441970190","9781441970206"],"last_page":219,"publisher":"Springer New York"}
元数据中的注释
Includes bibliographical references (p. 215-216) and index.
备用描述
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.
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.
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.
备用描述
Front Matter....Pages i-xii
Introduction....Pages 1-2
Basic properties of the solutions....Pages 3-27
Equations of Fuchsian type....Pages 29-42
Equations with one to four regular singular points....Pages 43-59
The hypergeometric differential equation....Pages 61-105
Legendre functions and related functions....Pages 107-122
Confluent hypergeometric functions....Pages 123-139
Heun’s differential equation....Pages 141-162
Back Matter....Pages 163-219
备用描述
Keine Beschreibung vorhanden.
Erscheinungsdatum: 19.08.2010
开源日期
2010-11-11
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