Orthogonal polynomials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R. I.
American Math. Soc.
2003
|
| Edition: | [4. ed.], reprint. with corrections |
| Series: | American Mathematical Society: Colloquium publications
23 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Physical Description: | XIII, 432 S. |
| ISBN: | 0821810235 9780821810231 |
Staff View
MARC
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| 100 | 1 | |a Szegö, Gábor |d 1895-1985 |e Verfasser |0 (DE-588)119089157 |4 aut | |
| 245 | 1 | 0 | |a Orthogonal polynomials |c Gabor Szegö |
| 250 | |a [4. ed.], reprint. with corrections | ||
| 264 | 1 | |a Providence, R. I. |b American Math. Soc. |c 2003 | |
| 300 | |a XIII, 432 S. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a American Mathematical Society: Colloquium publications |v 23 | |
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Record in the Search Index
| _version_ | 1804148743575961600 |
|---|---|
| adam_text | TABLE
OF
CONTENTS
Ρ
AUE
РВЕРАСБ
...................................
V
Preface
то
the revised
edition
............................. ix
Preface
то
the third edition
............................... xi
Preface to the fourth edition
..............................xi
Chapter I. Preliminaries
........................ 1
Chapter II. Definition of orthogonal polynomials; principal examples
... 23
Chapter III. General properties of orthogonal polynomials
........38
Chapter IV. Jacobi polynomials
......................58
Chapter V. Laguerre and Hermite polynomials
..............100
Chapter VI. Zeros of orthogonal polynomials
...............
Ill
Chapter
VII.
Inequalities
.........................159
Chapter
VIII.
Asymptotic properties of the classical polynomials
......191
Chapter IX. Expansion problems associated with the classical polynomials
. 244
Chapter X. Representation of positive functions
.............274
Chapter XI. Polynomials orthogonal on the unit circle
..........287
Chapter
XII.
Asymptotic properties of general orthogonal polynomials
. . . 296
Chapter
XIII.
Expansion problems associated with general orthogonal
POLYNOMIALS
..............................313
Chapter
XIV.
Interpolation
........................329
Chapter XV. Mechanical quadrature
...................349
Chapter
XVI.
Polynomials orthogonal on an arbitrary curve
........364
Problems and
exercises
...........................377
Furtheb
problems and exercises
.......................387
Appendix
..................................393
List of references
..............................401
Further references
.............................416
Index
.................:..................425
The general theory of orthogonal polynomials was developed in the late 19th century from a study of contin¬
ued fractions by P. L. Chebyshev. even though special cases were introduced earlier by Legendre. Hermite.
Jacobi. Laguerre. and Chebyshev himself. It was further developed by A. A.
Markos.
T. J.
Stieltjes,
and many
other mathematicians. The book by
Szegő,
originally published in
1939.
is the first monograph devoted to the
theory of orthogonal polynomials and its applications in many areas, including analysis, differential equa¬
tions, probability and mathematical physics. Even after all the years that have passed since the book first
appeared, and
w
¡th
many other books on the subject published since then, this classic monograph by
Szegő
remains an indispensable resource both as a textbook and as a reference book. It can be recommended to
anyone who wants to be acquainted with this central topic of mathematical analysis.
|
| any_adam_object | 1 |
| author | Szegö, Gábor 1895-1985 |
| author_GND | (DE-588)119089157 |
| author_facet | Szegö, Gábor 1895-1985 |
| author_role | aut |
| author_sort | Szegö, Gábor 1895-1985 |
| author_variant | g s gs |
| building | Verbundindex |
| bvnumber | BV039812404 |
| classification_rvk | SK 470 SK 680 |
| classification_tum | MAT 338f |
| ctrlnum | (OCoLC)54683744 (DE-599)BVBBV039812404 |
| discipline | Mathematik |
| edition | [4. ed.], reprint. with corrections |
| format | Book |
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| id | DE-604.BV039812404 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:11:59Z |
| institution | BVB |
| isbn | 0821810235 9780821810231 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-024672691 |
| oclc_num | 54683744 |
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| owner | DE-91G DE-BY-TUM DE-703 DE-11 DE-739 |
| owner_facet | DE-91G DE-BY-TUM DE-703 DE-11 DE-739 |
| physical | XIII, 432 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | American Mathematical Society: Colloquium publications |
| series2 | American Mathematical Society: Colloquium publications |
| spelling | Szegö, Gábor 1895-1985 Verfasser (DE-588)119089157 aut Orthogonal polynomials Gabor Szegö [4. ed.], reprint. with corrections Providence, R. I. American Math. Soc. 2003 XIII, 432 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Colloquium publications 23 Orthogonale Polynome (DE-588)4172863-4 gnd rswk-swf Orthogonale Funktionen (DE-588)4475233-7 gnd rswk-swf Orthogonale Polynome (DE-588)4172863-4 s Orthogonale Funktionen (DE-588)4475233-7 s DE-604 Erscheint auch als Online-Ausgabe 978-1-4704-3171-6 American Mathematical Society: Colloquium publications 23 (DE-604)BV035417609 23 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024672691&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024672691&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Szegö, Gábor 1895-1985 Orthogonal polynomials American Mathematical Society: Colloquium publications Orthogonale Polynome (DE-588)4172863-4 gnd Orthogonale Funktionen (DE-588)4475233-7 gnd |
| subject_GND | (DE-588)4172863-4 (DE-588)4475233-7 |
| title | Orthogonal polynomials |
| title_auth | Orthogonal polynomials |
| title_exact_search | Orthogonal polynomials |
| title_full | Orthogonal polynomials Gabor Szegö |
| title_fullStr | Orthogonal polynomials Gabor Szegö |
| title_full_unstemmed | Orthogonal polynomials Gabor Szegö |
| title_short | Orthogonal polynomials |
| title_sort | orthogonal polynomials |
| topic | Orthogonale Polynome (DE-588)4172863-4 gnd Orthogonale Funktionen (DE-588)4475233-7 gnd |
| topic_facet | Orthogonale Polynome Orthogonale Funktionen |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024672691&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024672691&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT szegogabor orthogonalpolynomials |