Orthogonal polynomials and special functions: Leuven 2002
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer
2003
|
| Schriftenreihe: | Lecture notes in mathematics
1817 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 249 S. graph. Darst. |
| ISBN: | 3540403752 |
Internformat
MARC
| LEADER | 00000nam a2200000zcb4500 | ||
|---|---|---|---|
| 001 | BV017252983 | ||
| 003 | DE-604 | ||
| 005 | 20030721 | ||
| 007 | t | ||
| 008 | 030624s2003 gw d||| |||| 10||| eng d | ||
| 016 | 7 | |a 96804347X |2 DE-101 | |
| 020 | |a 3540403752 |9 3-540-40375-2 | ||
| 035 | |a (OCoLC)52424021 | ||
| 035 | |a (DE-599)BVBBV017252983 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 044 | |a gw |c DE | ||
| 049 | |a DE-91G |a DE-824 |a DE-355 |a DE-706 |a DE-83 |a DE-11 |a DE-188 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 515/.55 |2 21 | |
| 082 | 0 | |a 510 |2 21 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a SK 470 |0 (DE-625)143241: |2 rvk | ||
| 084 | |a 33-06 |2 msc | ||
| 084 | |a MAT 338f |2 stub | ||
| 245 | 1 | 0 | |a Orthogonal polynomials and special functions |b Leuven 2002 |c Erik Koelink, Walter van Assche (eds.) |
| 264 | 1 | |a Berlin |b Springer |c 2003 | |
| 300 | |a X, 249 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1817 | |
| 650 | 4 | |a Fonctions spéciales - Congrès | |
| 650 | 4 | |a Polynômes orthogonaux - Congrès | |
| 650 | 4 | |a Functions, Special |v Congresses | |
| 650 | 4 | |a Orthogonal polynomials |v Congresses | |
| 650 | 0 | 7 | |a Spezielle Funktion |0 (DE-588)4182213-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Orthogonale Polynome |0 (DE-588)4172863-4 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)1071861417 |a Konferenzschrift |y 2002 |z Löwen |2 gnd-content | |
| 689 | 0 | 0 | |a Orthogonale Polynome |0 (DE-588)4172863-4 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Spezielle Funktion |0 (DE-588)4182213-4 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Koelink, Erik |d 1964- |e Sonstige |0 (DE-588)124804896 |4 oth | |
| 700 | 1 | |a Van Assche, Walter |d 1958- |e Sonstige |0 (DE-588)111317088 |4 oth | |
| 830 | 0 | |a Lecture notes in mathematics |v 1817 |w (DE-604)BV000676446 |9 1817 | |
| 856 | 4 | 2 | |m Digitalisierung TU Muenchen |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010399351&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-010399351 | ||
Datensatz im Suchindex
| _version_ | 1804130104493735936 |
|---|---|
| adam_text | Contents
Computer Algebra
Algorithms for
Orthogonal
Polynomials
and Special
Functions
Wolfram Koepf.................................................. 1
1
The computation of power series and hypergeometric functions
..... 2
2
Summation of hypergeometric series
............................ 6
3
Hypergeometric term solutions of recurrence equations
............ 14
4
Integration
.................................................. 15
5
Applications and further algorithms
............................ 18
6
Epilogue
.................................................... 22
References
...................................................... 23
3nj -Coefficients and Orthogonal Polynomials of
Hypergeometric Type
Joris
Van
der Jeugt.............................................. 25
1
The Lie algebras su(2) and su(l,
1)
and representations
........... 27
2
Hypergeometric series and some transformation formulas
.......... 35
3
Tensor product of two su(2) representations
..................... 40
4
Tensor product of three su(2) representations and Racah coefficients
56
5
Tensor product of
η
+ 1
representations and 3n
j
-coefficients
...... 70
References
...................................................... 89
Dunkl Operators: Theory and Applications
Margit
Rosier
................................................... 93
1
Introduction
................................................. 94
2
Dunkl operators and the Dunkl transform
....................... 95
3
CMS models and generalized Hermite polynomials
................110
4
Positivity
results
.............................................117
5
Asymptotic analysis for the Dunkl kernel
........................127
6
Notation
....................................................132
References
......................................................132
X
Contents
Enumeration and Special Functions
Dennis Stanton
..................................................137
1
Enumeration and
ç-series
.....................................138
2
Orthogonal polynomials
.......................................155
3
Symmetric functions
..........................................160
References
......................................................165
Riemann-Hilbert Analysis for Orthogonal Polynomials
Arno
B. J. Kuijlaars
..............................................167
1
Introduction
.................................................168
2
Boundary values of analytic functions
...........................169
3
Matrix Riemann-Hilbert problems
..............................172
4
Riemann-Hilbert problem for orthogonal polynomials on the real line
177
5
Riemann-Hilbert problem for orthogonal polynomials on
[—1,1] ... 179
6
Basic idea of steepest descent method
...........................181
7
First transformation
Y
i->
T...................................
182
8
Second transformation
T —> S .................................
184
9
Special case
α
=
β
—
-
......................................187
10
Model Riemann Hubert problem
...............................189
11
Third transformation
S
>->
R..................................
191
12
Asymptotics for orthogonal polynomials (case a =
β
— —
|
).......192
13
Case of general
α
and
β
......................................196
14
Construction of the local parametrix
............................198
15
Asymptotics for orthogonal polynomials (general case)
............204
References
......................................................208
Exponential Asymptotics
Adri
В.
Olde Daalhuis
............................................211
1
Introduction
.................................................212
2
Local hyperasymptotics for integrals
............................217
3
Global hyperasymptotics for integrals
...........................221
4
Global hyperasymptotics for linear ODEs
........................226
5
Exercises
....................................................241
References
......................................................243
Index
..........................................................245
|
| any_adam_object | 1 |
| author_GND | (DE-588)124804896 (DE-588)111317088 |
| building | Verbundindex |
| bvnumber | BV017252983 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 SK 470 |
| classification_tum | MAT 338f |
| ctrlnum | (OCoLC)52424021 (DE-599)BVBBV017252983 |
| dewey-full | 515/.55 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis 510 - Mathematics |
| dewey-raw | 515/.55 510 |
| dewey-search | 515/.55 510 |
| dewey-sort | 3515 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02124nam a2200541zcb4500</leader><controlfield tag="001">BV017252983</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20030721 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">030624s2003 gw d||| |||| 10||| eng d</controlfield><datafield tag="016" ind1="7" ind2=" "><subfield code="a">96804347X</subfield><subfield code="2">DE-101</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540403752</subfield><subfield code="9">3-540-40375-2</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)52424021</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV017252983</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-91G</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.55</subfield><subfield code="2">21</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 470</subfield><subfield code="0">(DE-625)143241:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33-06</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 338f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Orthogonal polynomials and special functions</subfield><subfield code="b">Leuven 2002</subfield><subfield code="c">Erik Koelink, Walter van Assche (eds.)</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin</subfield><subfield code="b">Springer</subfield><subfield code="c">2003</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 249 S.</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1817</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions spéciales - Congrès</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Polynômes orthogonaux - Congrès</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions, Special</subfield><subfield code="v">Congresses</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Orthogonal polynomials</subfield><subfield code="v">Congresses</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Spezielle Funktion</subfield><subfield code="0">(DE-588)4182213-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Orthogonale Polynome</subfield><subfield code="0">(DE-588)4172863-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)1071861417</subfield><subfield code="a">Konferenzschrift</subfield><subfield code="y">2002</subfield><subfield code="z">Löwen</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Orthogonale Polynome</subfield><subfield code="0">(DE-588)4172863-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Spezielle Funktion</subfield><subfield code="0">(DE-588)4182213-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Koelink, Erik</subfield><subfield code="d">1964-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)124804896</subfield><subfield code="4">oth</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Van Assche, Walter</subfield><subfield code="d">1958-</subfield><subfield code="e">Sonstige</subfield><subfield code="0">(DE-588)111317088</subfield><subfield code="4">oth</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1817</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1817</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung TU Muenchen</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010399351&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-010399351</subfield></datafield></record></collection> |
| genre | (DE-588)1071861417 Konferenzschrift 2002 Löwen gnd-content |
| genre_facet | Konferenzschrift 2002 Löwen |
| id | DE-604.BV017252983 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:15:44Z |
| institution | BVB |
| isbn | 3540403752 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010399351 |
| oclc_num | 52424021 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-706 DE-83 DE-11 DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-824 DE-355 DE-BY-UBR DE-706 DE-83 DE-11 DE-188 |
| physical | X, 249 S. graph. Darst. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Orthogonal polynomials and special functions Leuven 2002 Erik Koelink, Walter van Assche (eds.) Berlin Springer 2003 X, 249 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1817 Fonctions spéciales - Congrès Polynômes orthogonaux - Congrès Functions, Special Congresses Orthogonal polynomials Congresses Spezielle Funktion (DE-588)4182213-4 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf (DE-588)1071861417 Konferenzschrift 2002 Löwen gnd-content Orthogonale Polynome (DE-588)4172863-4 s DE-604 Spezielle Funktion (DE-588)4182213-4 s Koelink, Erik 1964- Sonstige (DE-588)124804896 oth Van Assche, Walter 1958- Sonstige (DE-588)111317088 oth Lecture notes in mathematics 1817 (DE-604)BV000676446 1817 Digitalisierung TU Muenchen application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010399351&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Orthogonal polynomials and special functions Leuven 2002 Lecture notes in mathematics Fonctions spéciales - Congrès Polynômes orthogonaux - Congrès Functions, Special Congresses Orthogonal polynomials Congresses Spezielle Funktion (DE-588)4182213-4 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| subject_GND | (DE-588)4182213-4 (DE-588)4172863-4 (DE-588)1071861417 |
| title | Orthogonal polynomials and special functions Leuven 2002 |
| title_auth | Orthogonal polynomials and special functions Leuven 2002 |
| title_exact_search | Orthogonal polynomials and special functions Leuven 2002 |
| title_full | Orthogonal polynomials and special functions Leuven 2002 Erik Koelink, Walter van Assche (eds.) |
| title_fullStr | Orthogonal polynomials and special functions Leuven 2002 Erik Koelink, Walter van Assche (eds.) |
| title_full_unstemmed | Orthogonal polynomials and special functions Leuven 2002 Erik Koelink, Walter van Assche (eds.) |
| title_short | Orthogonal polynomials and special functions |
| title_sort | orthogonal polynomials and special functions leuven 2002 |
| title_sub | Leuven 2002 |
| topic | Fonctions spéciales - Congrès Polynômes orthogonaux - Congrès Functions, Special Congresses Orthogonal polynomials Congresses Spezielle Funktion (DE-588)4182213-4 gnd Orthogonale Polynome (DE-588)4172863-4 gnd |
| topic_facet | Fonctions spéciales - Congrès Polynômes orthogonaux - Congrès Functions, Special Congresses Orthogonal polynomials Congresses Spezielle Funktion Orthogonale Polynome Konferenzschrift 2002 Löwen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010399351&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT koelinkerik orthogonalpolynomialsandspecialfunctionsleuven2002 AT vanasschewalter orthogonalpolynomialsandspecialfunctionsleuven2002 |