Topics in the theory of elliptic functions:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston, Ontario
Queen's University
1967
|
| Series: | Queen's Papers in Pure and Applied Mathematics
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | II, 305 Seiten |
Staff View
MARC
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| 245 | 1 | 0 | |a Topics in the theory of elliptic functions |c by Peter Scherk |
| 264 | 1 | |a Kingston, Ontario |b Queen's University |c 1967 | |
| 300 | |a II, 305 Seiten | ||
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| 490 | 1 | |a Queen's Papers in Pure and Applied Mathematics |v 8 | |
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Record in the Search Index
| _version_ | 1804121324629524480 |
|---|---|
| adam_text | TABLE OF CONTENTS
Page
INTRODUCTION 1
I. TOPICS IN COMPLEX ANALYSIS 3
§]. General remarks 3
§2. Entire and meromorphic functions 8
53. Rational functions 12
§ i. Periodic functions 15
n. LATTICES AND THEIR FUNCTIONS 38
4l. Modules and point lattices 38
52. The automorphisms of a lattice 50
§?.a. A description of the group F 60
{3. Liouville s theorems 65
5^ . On the field of the elliptic functions
with a given lattice. 76
III.THE ELLIPTIC FUNCTIONS OF WEIERSTRASS 87
$1. The Eisenstein series 87
52. The ^ function and its derivatives 91
§3. The principal functions of a lattice
and the differential equation of the
£ function. 103
§/ . The ^ function and the additive
decomposition of elliptic functions. 116
5^, The O function and the multiplicative
decomposition of elliptic functions. 126
§6. Addition theorems 142
§7. A determinant 149
58. The co functions of a(u) . 173
58a. On Jacobi s elliptic functions. 187
TV. ELLIPTIC INTEGRALS 193
§1. The function Fatz z,)(z z2)(z z~)(z zi)
and its Riemann surface. , 193
$2. The Riemann surface of p (w) . 206
§3. The primitive functions of ^(w) . 217
U. Integration on R . 229
55. On Euler s differential equation. 238
55a. Polars and polar forms. 242
5^b. Once more, Euler s differential equation. 250
V. SIMILAR LATTICES 258
§1 . Similarities . 258
§2. Regular and symmetric lattices. 265
53. On the symmetric lattices. 275
§li. Simple expansions of the Weierstrass
functions. 284
§5. Fourier series of ( x) and a(u) . 295
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| any_adam_object | 1 |
| author | Scherk, Peter 1910-1985 |
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| dewey-search | 517/.36 |
| dewey-sort | 3517 236 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV007131665 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:56:10Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-004546564 |
| oclc_num | 268136 |
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| physical | II, 305 Seiten |
| psigel | TUB-nveb |
| publishDate | 1967 |
| publishDateSearch | 1967 |
| publishDateSort | 1967 |
| publisher | Queen's University |
| record_format | marc |
| series | Queen's Papers in Pure and Applied Mathematics |
| series2 | Queen's Papers in Pure and Applied Mathematics |
| spelling | Scherk, Peter 1910-1985 Verfasser (DE-588)117720690 aut Topics in the theory of elliptic functions by Peter Scherk Kingston, Ontario Queen's University 1967 II, 305 Seiten txt rdacontent n rdamedia nc rdacarrier Queen's Papers in Pure and Applied Mathematics 8 Fonctions elliptiques Elliptic functions Elliptische Funktion (DE-588)4134665-8 gnd rswk-swf Elliptische Funktion (DE-588)4134665-8 s DE-604 Queen's Papers in Pure and Applied Mathematics 8 (DE-604)BV001889470 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004546564&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Scherk, Peter 1910-1985 Topics in the theory of elliptic functions Queen's Papers in Pure and Applied Mathematics Fonctions elliptiques Elliptic functions Elliptische Funktion (DE-588)4134665-8 gnd |
| subject_GND | (DE-588)4134665-8 |
| title | Topics in the theory of elliptic functions |
| title_auth | Topics in the theory of elliptic functions |
| title_exact_search | Topics in the theory of elliptic functions |
| title_full | Topics in the theory of elliptic functions by Peter Scherk |
| title_fullStr | Topics in the theory of elliptic functions by Peter Scherk |
| title_full_unstemmed | Topics in the theory of elliptic functions by Peter Scherk |
| title_short | Topics in the theory of elliptic functions |
| title_sort | topics in the theory of elliptic functions |
| topic | Fonctions elliptiques Elliptic functions Elliptische Funktion (DE-588)4134665-8 gnd |
| topic_facet | Fonctions elliptiques Elliptic functions Elliptische Funktion |
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