000			02845nam a22004815i 4500
001			978-1-4419-7020-6
003			DE-He213
005			20140220084511.0
007			cr nn 008mamaa
008			100805s2010 xxu| s |||| 0|eng d
020			_a9781441970206 _9978-1-4419-7020-6
024	7		_a10.1007/978-1-4419-7020-6 _2doi
050		4	_aQA372
072		7	_aPBKJ _2bicssc
072		7	_aMAT007000 _2bisacsh
082	0	4	_a515.352 _223
100	1		_aKristensson, Gerhard. _eauthor.
245	1	0	_aSecond Order Differential Equations _h[electronic resource] : _bSpecial Functions and Their Classification / _cby Gerhard Kristensson.
264		1	_aNew York, NY : _bSpringer New York, _c2010.
300			_aXIV, 216p. 31 illus. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
505	0		_aBasic 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.
520			_aSecond 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.
650		0	_aMathematics.
650		0	_aFunctional equations.
650		0	_aFunctions of complex variables.
650		0	_aDifferential Equations.
650		0	_aFunctions, special.
650	1	4	_aMathematics.
650	2	4	_aOrdinary Differential Equations.
650	2	4	_aSpecial Functions.
650	2	4	_aFunctions of a Complex Variable.
650	2	4	_aDifference and Functional Equations.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441970190
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-7020-6
912			_aZDB-2-SMA
999			_c110716 _d110716