Zeros of sections of power series:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1983
|
| Schriftenreihe: | Lecture notes in mathematics
1002 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 115 S. |
| ISBN: | 3540123180 0387123180 |
Internformat
MARC
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| 100 | 1 | |a Edrei, Albert |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Zeros of sections of power series |c Albert Edrei ; Edward B. Saff ; Richard S. Varga |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1983 | |
| 300 | |a VIII, 115 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1002 | |
| 650 | 7 | |a Analytische functies |2 gtt | |
| 650 | 4 | |a Fonctions entières | |
| 650 | 4 | |a Séries de puissances | |
| 650 | 4 | |a Analytic functions | |
| 650 | 4 | |a Functions, Entire | |
| 650 | 4 | |a Power series | |
| 650 | 0 | 7 | |a Partialsumme |0 (DE-588)4475216-7 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nullstelle |0 (DE-588)4140515-8 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Potenzreihe |0 (DE-588)4138577-9 |2 gnd |9 rswk-swf |
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| 700 | 1 | |a Varga, Richard S. |d 1928-2022 |e Verfasser |0 (DE-588)1068286725 |4 aut | |
| 830 | 0 | |a Lecture notes in mathematics |v 1002 |w (DE-604)BV000676446 |9 1002 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-000143699 | ||
Datensatz im Suchindex
| _version_ | 1804114702053146624 |
|---|---|
| adam_text | Table of Contents
Page
Acknowledgments
1. Introduction 1
2. Statements of our results 7
I. Mittag Leffler functions of order X 1 .... 7
II. Functions of genus zero whose zeros are
all negative 19
III. Problems for further study 23
3. Discussion of our numerical results 26
Figures 1 12 29 40
4. Outline of the method 41
5. Notational conventions 43
6. Properties of the Mittag Leffler function of
order 1 A °° 44
7. Estimates for G (w) and Q (w) 49
m m
8. A differential equation 53
9. Estimates for J (w) near the circumference |w| =1 . . 60
10. Existence and uniqueness of the Szego curve 62
11. Crude estimates for |t m(w)| and |Qm(w)| 63
12. Proof of Theorem 5 70
13. Proof of Theorem 1 70
14. Proof of Theorem 2 72
15. The circular portion of the Szego curve (Proof of
Theorem 3) 11
16. Proof of Theorem 4 80
VIII
Page
17. Proof of Theorem 6 82
18. Properties of XL functions; proof of assertion I of
Theorem 7 87
19. JL functions of genus zero are admissible in the
sense of Hayman 91
20. The functions U (w), Q (w), G (w) associated with
m m m
£ functions of genus zero 92
21. Estimates for Um(w) 95
22. Determination of lim fim(C) 99
23. Comparison with integrals; proof of assertion II
of Theorem 7 101
24. The Szego curves for £ functions of genus zero .... 103
25. Estimates for U ((^e^^w) 106
26. Proof of assertion IV of Theorem 7 108
References 109
Index of Ad Hoc Definitions and Notations 113
General Index 114
|
| any_adam_object | 1 |
| author | Edrei, Albert Saff, Edward B. 1944- Varga, Richard S. 1928-2022 |
| author_GND | (DE-588)110736990 (DE-588)1068286725 |
| author_facet | Edrei, Albert Saff, Edward B. 1944- Varga, Richard S. 1928-2022 |
| author_role | aut aut aut |
| author_sort | Edrei, Albert |
| author_variant | a e ae e b s eb ebs r s v rs rsv |
| building | Verbundindex |
| bvnumber | BV000239327 |
| callnumber-first | Q - Science |
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| callnumber-raw | QA3 |
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| classification_rvk | SI 850 |
| classification_tum | MAT 327f MAT 144f |
| ctrlnum | (OCoLC)9954680 (DE-599)BVBBV000239327 |
| dewey-full | 510 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 515 - Analysis |
| dewey-raw | 510 515 |
| dewey-search | 510 515 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000239327 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:10:55Z |
| institution | BVB |
| isbn | 3540123180 0387123180 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000143699 |
| oclc_num | 9954680 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-19 DE-BY-UBM DE-706 DE-11 DE-188 DE-83 |
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| physical | VIII, 115 S. |
| publishDate | 1983 |
| publishDateSearch | 1983 |
| publishDateSort | 1983 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Edrei, Albert Verfasser aut Zeros of sections of power series Albert Edrei ; Edward B. Saff ; Richard S. Varga Berlin [u.a.] Springer 1983 VIII, 115 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1002 Analytische functies gtt Fonctions entières Séries de puissances Analytic functions Functions, Entire Power series Partialsumme (DE-588)4475216-7 gnd rswk-swf Nullstelle (DE-588)4140515-8 gnd rswk-swf Potenzreihe (DE-588)4138577-9 gnd rswk-swf Potenzreihe (DE-588)4138577-9 s DE-604 Nullstelle (DE-588)4140515-8 s Partialsumme (DE-588)4475216-7 s Saff, Edward B. 1944- Verfasser (DE-588)110736990 aut Varga, Richard S. 1928-2022 Verfasser (DE-588)1068286725 aut Lecture notes in mathematics 1002 (DE-604)BV000676446 1002 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Edrei, Albert Saff, Edward B. 1944- Varga, Richard S. 1928-2022 Zeros of sections of power series Lecture notes in mathematics Analytische functies gtt Fonctions entières Séries de puissances Analytic functions Functions, Entire Power series Partialsumme (DE-588)4475216-7 gnd Nullstelle (DE-588)4140515-8 gnd Potenzreihe (DE-588)4138577-9 gnd |
| subject_GND | (DE-588)4475216-7 (DE-588)4140515-8 (DE-588)4138577-9 |
| title | Zeros of sections of power series |
| title_auth | Zeros of sections of power series |
| title_exact_search | Zeros of sections of power series |
| title_full | Zeros of sections of power series Albert Edrei ; Edward B. Saff ; Richard S. Varga |
| title_fullStr | Zeros of sections of power series Albert Edrei ; Edward B. Saff ; Richard S. Varga |
| title_full_unstemmed | Zeros of sections of power series Albert Edrei ; Edward B. Saff ; Richard S. Varga |
| title_short | Zeros of sections of power series |
| title_sort | zeros of sections of power series |
| topic | Analytische functies gtt Fonctions entières Séries de puissances Analytic functions Functions, Entire Power series Partialsumme (DE-588)4475216-7 gnd Nullstelle (DE-588)4140515-8 gnd Potenzreihe (DE-588)4138577-9 gnd |
| topic_facet | Analytische functies Fonctions entières Séries de puissances Analytic functions Functions, Entire Power series Partialsumme Nullstelle Potenzreihe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000143699&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
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