Zeros of sections of power series:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1983
|
| Series: | Lecture notes in mathematics
1002 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 115 S. |
| ISBN: | 3540123180 0387123180 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000239327 | ||
| 003 | DE-604 | ||
| 005 | 20171124 | ||
| 007 | t | ||
| 008 | 870612s1983 |||| 00||| eng d | ||
| 020 | |a 3540123180 |9 3-540-12318-0 | ||
| 020 | |a 0387123180 |9 0-387-12318-0 | ||
| 035 | |a (OCoLC)9954680 | ||
| 035 | |a (DE-599)BVBBV000239327 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-355 |a DE-20 |a DE-824 |a DE-29T |a DE-19 |a DE-706 |a DE-11 |a DE-188 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510 |2 19 | |
| 082 | 0 | |a 515 |2 19 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a 30E15 |2 msc | ||
| 084 | |a 30D15 |2 msc | ||
| 084 | |a MAT 327f |2 stub | ||
| 084 | |a MAT 144f |2 stub | ||
| 084 | |a 30C15 |2 msc | ||
| 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 |
| 689 | 0 | 0 | |a Potenzreihe |0 (DE-588)4138577-9 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Potenzreihe |0 (DE-588)4138577-9 |D s |
| 689 | 1 | 1 | |a Nullstelle |0 (DE-588)4140515-8 |D s |
| 689 | 1 | 2 | |a Partialsumme |0 (DE-588)4475216-7 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Saff, Edward B. |d 1944- |e Verfasser |0 (DE-588)110736990 |4 aut | |
| 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 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-000143699 | ||
Record in the Search Index
| _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 |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02277nam a2200613 cb4500</leader><controlfield tag="001">BV000239327</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20171124 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1983 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3540123180</subfield><subfield code="9">3-540-12318-0</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0387123180</subfield><subfield code="9">0-387-12318-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)9954680</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000239327</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515</subfield><subfield code="2">19</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">30E15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30D15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 327f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 144f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">30C15</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Edrei, Albert</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Zeros of sections of power series</subfield><subfield code="c">Albert Edrei ; Edward B. Saff ; Richard S. Varga</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1983</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 115 S.</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">1002</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Analytische functies</subfield><subfield code="2">gtt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Fonctions entières</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Séries de puissances</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Analytic functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Functions, Entire</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Power series</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Partialsumme</subfield><subfield code="0">(DE-588)4475216-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nullstelle</subfield><subfield code="0">(DE-588)4140515-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Potenzreihe</subfield><subfield code="0">(DE-588)4138577-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Potenzreihe</subfield><subfield code="0">(DE-588)4138577-9</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">Potenzreihe</subfield><subfield code="0">(DE-588)4138577-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Nullstelle</subfield><subfield code="0">(DE-588)4140515-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Partialsumme</subfield><subfield code="0">(DE-588)4475216-7</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">Saff, Edward B.</subfield><subfield code="d">1944-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)110736990</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Varga, Richard S.</subfield><subfield code="d">1928-2022</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1068286725</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1002</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1002</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=000143699&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:BVB01-000143699</subfield></datafield></record></collection> |
| 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 |
| owner_facet | 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 |
| 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 |
| work_keys_str_mv | AT edreialbert zerosofsectionsofpowerseries AT saffedwardb zerosofsectionsofpowerseries AT vargarichards zerosofsectionsofpowerseries |