Second Order Differential Equations : Special Functions and Their Classification / by Gerhard Kristensson

Von:

Kristensson, Gerhard [aut]

Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: SpringerLink BücherVerlag: New York, NY : Springer New York, 2010Beschreibung: Online-Ressource (XIV, 216p. 31 illus, digital)ISBN:

9781441970206

Schlagwörter:

Andere physische Formen: 9781441970190 | Buchausg. u.d.T.: Second order differential equations. New York : Springer, 2010. XII, 219 S.MSC: MSC: *34-02 | 34M03 | 33-01 | 34M35RVK: RVK: SK 560LOC-Klassifikation:

QA372

DOI: DOI: 10.1007/978-1-4419-7020-6Online-Ressourcen:

Zusammenfassung: 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.Zusammenfassung: 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.PPN: PPN: 1650101244Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS

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