Special functions and orthogonal polynomials / Richard Beals, Roderick S.C. Wong.
Beals, Richard, 1938-| Call Number | 515/.55 |
| Author | Beals, Richard, 1938- author. |
| Title | Special functions and orthogonal polynomials / Richard Beals, Roderick S.C. Wong. Special Functions & Orthogonal Polynomials |
| Physical Description | 1 online resource (xiii, 473 pages) : digital, PDF file(s). |
| Series | Cambridge studies in advanced mathematics ; 153 |
| Notes | Title from publisher's bibliographic system (viewed on 05 May 2016). |
| Summary | The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'. |
| Added Author | Wong, Roderick, 1944- author. |
| Subject | ORTHOGONAL POLYNOMIALS. FUNCTIONS, SPECIAL. MATHEMATICAL ANALYSIS. |
| Multimedia |
Total Ratings:
0
02494nam a22004098i 4500
001
vtls001594372
003
VRT
005
20220808222600.0
006
m|||||o||d||||||||
007
cr||||||||||||
008
220808s2016||||enk o ||1 0|eng|d
020
$a 9781316227381 (ebook)
020
$z 9781107106987 (hardback)
035
$a (UkCbUP)CR9781316227381
039
9
$y 202208082226 $z santha
040
$a UkCbUP $b eng $e rda $c UkCbUP
050
0
0
$a QA404.5 $b .B3227 2016
082
0
0
$a 515/.55 $2 23
100
1
$a Beals, Richard, $d 1938- $e author.
245
1
0
$a Special functions and orthogonal polynomials / $c Richard Beals, Roderick S.C. Wong.
246
3
$a Special Functions & Orthogonal Polynomials
264
1
$a Cambridge : $b Cambridge University Press, $c 2016.
300
$a 1 online resource (xiii, 473 pages) : $b digital, PDF file(s).
336
$a text $b txt $2 rdacontent
337
$a computer $b c $2 rdamedia
338
$a online resource $b cr $2 rdacarrier
490
1
$a Cambridge studies in advanced mathematics ; $v 153
500
$a Title from publisher's bibliographic system (viewed on 05 May 2016).
520
$a The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'.
650
0
$a ORTHOGONAL POLYNOMIALS.
650
0
$a FUNCTIONS, SPECIAL.
650
0
$a MATHEMATICAL ANALYSIS.
700
1
$a Wong, Roderick, $d 1944- $e author.
776
0
8
$i Print version: $z 9781107106987
830
0
$a Cambridge studies in advanced mathematics ; $v 153.
856
4
0
$u https://doi.org/10.1017/CBO9781316227381
999
$a VIRTUA
No Reviews to Display
| Summary | The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painlevé transcendents, which have been termed the 'special functions of the twenty-first century'. |
| Notes | Title from publisher's bibliographic system (viewed on 05 May 2016). |
| Subject | ORTHOGONAL POLYNOMIALS. FUNCTIONS, SPECIAL. MATHEMATICAL ANALYSIS. |
| Multimedia |