000 | 02814nam a22004695i 4500 | ||
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001 | u371805 | ||
003 | SIRSI | ||
005 | 20160812080149.0 | ||
007 | cr nn 008mamaa | ||
008 | 100805s2010 xxu| s |||| 0|eng d | ||
020 |
_a9781441970206 _9978-1-4419-7020-6 |
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040 | _cMX-MeUAM | ||
050 | 4 | _aQA372 | |
082 | 0 | 4 |
_a515.352 _223 |
100 | 1 |
_aKristensson, Gerhard. _eauthor. |
|
245 | 1 | 0 |
_aSecond Order Differential Equations _h[recurso electrónico] : _bSpecial Functions and Their Classification / _cby Gerhard Kristensson. |
264 | 1 |
_aNew York, NY : _bSpringer New York, _c2010. |
|
300 |
_aXII, 219 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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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 |
_zLibro electrónico _uhttp://148.231.10.114:2048/login?url=http://link.springer.com/book/10.1007/978-1-4419-7020-6 |
596 | _a19 | ||
942 | _cLIBRO_ELEC | ||
999 |
_c199685 _d199685 |