| 000 | 02492nam a22003738i 4500 | ||
|---|---|---|---|
| 001 | CR9780511762543 | ||
| 003 | UkCbUP | ||
| 005 | 20200124160222.0 | ||
| 006 | m|||||o||d|||||||| | ||
| 007 | cr|||||||||||| | ||
| 008 | 141103s2010||||enk o ||1 0|eng|d | ||
| 020 | _a9780511762543 (ebook) | ||
| 020 | _z9780521197977 (hardback) | ||
| 020 | _z9781107471634 (paperback) | ||
| 040 |
_aUkCbUP _beng _erda _cUkCbUP |
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| 050 | 0 | 0 |
_aQA351 _b.B34 2010 |
| 082 | 0 | 0 |
_a515/.5 _222 |
| 100 | 1 |
_aBeals, Richard, _d1938- _eauthor. |
|
| 245 | 1 | 0 |
_aSpecial functions : _ba graduate text / _cRichard Beals, Roderick Wong. |
| 264 | 1 |
_aCambridge : _bCambridge University Press, _c2010. |
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| 300 |
_a1 online resource (ix, 456 pages) : _bdigital, PDF file(s). |
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| 336 |
_atext _btxt _2rdacontent |
||
| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
||
| 490 | 1 |
_aCambridge studies in advanced mathematics ; _v126 |
|
| 500 | _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | _aOrientation -- Gamma, beta, zeta -- Second-order differential equations -- Orthogonal polynomials -- Discrete orthogonal polynomials -- Confluent hypergeometric functions -- Cylinder functions -- Hypergeometric functions -- Spherical functions -- Asymptotics -- Elliptic functions. | |
| 520 | _aThe subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference. | ||
| 650 | 0 |
_aFunctions, Special _vTextbooks. |
|
| 700 | 1 |
_aWong, Roderick, _d1944- _eauthor. |
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| 776 | 0 | 8 |
_iPrint version: _z9780521197977 |
| 830 | 0 |
_aCambridge studies in advanced mathematics ; _v126. |
|
| 856 | 4 | 0 | _uhttps://doi.org/10.1017/CBO9780511762543 |
| 999 |
_c516872 _d516870 |
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