Polynomial expansions of analytic functions:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1964
|
| Ausgabe: | 2. print., corr. |
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenzgebiete
19 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VIII, 77 S. graph. Darst. |
Internformat
MARC
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| 100 | 1 | |a Boas, Ralph Philip |d 1912-1992 |e Verfasser |0 (DE-588)119350203 |4 aut | |
| 245 | 1 | 0 | |a Polynomial expansions of analytic functions |c by Ralph P. Boas and R. Creighton Buck |
| 250 | |a 2. print., corr. | ||
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1964 | |
| 300 | |a VIII, 77 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete |v 19 | |
| 650 | 7 | |a Analise Complexa (Matematica) |2 larpcal | |
| 650 | 4 | |a Functions | |
| 650 | 4 | |a Polynomials | |
| 650 | 0 | 7 | |a Polynomerweiterung |0 (DE-588)4175261-2 |2 gnd |9 rswk-swf |
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| 650 | 0 | 7 | |a Analytische Funktion |0 (DE-588)4142348-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Holomorphe Funktion |0 (DE-588)4025645-5 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Polynom |0 (DE-588)4046711-9 |2 gnd |9 rswk-swf |
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| 689 | 3 | 0 | |a Polynomerweiterung |0 (DE-588)4175261-2 |D s |
| 689 | 3 | 1 | |a Analytische Funktion |0 (DE-588)4142348-3 |D s |
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| 700 | 1 | |a Buck, Robert Creighton |e Verfasser |4 aut | |
| 830 | 0 | |a Ergebnisse der Mathematik und ihrer Grenzgebiete |v 19 |w (DE-604)BV005871160 |9 19 | |
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| 940 | 1 | |q HUB-ZB011200709 | |
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Datensatz im Suchindex
| _version_ | 1804123400942125056 |
|---|---|
| adam_text | Contents
Chapter I. Introduction 1
§ 1. Generalities 1
§ 2. Representation formulas with a kernel 4
§ 3. The method of kernel expansion 10
§ 4. Lidstone series 13
§ 5. A set of Laguerre polynomials 16
§ 6. Generalized Appell polynomials 17
Chapter II. Representation of entire functions 21
§ 7. General theory 21
§ 8. Multiple expansions 24
§ 9. Appell polynomials 28
(i) Bernoulli polynomials and generalizations 29
(ii) A set of Laguerre polynomials 31
(iii) Hermite polynomials 31
(iv) Reversed Laguerre polynomials 32
(v) Reversed Rainville polynomials 32
§ 10. Sheffer polynomials 33
(vi) General difference polynomials 34
(vii) Poisson Charlier, Narumi and Boole polynomials 37
(viii) Mittag Leffler polynomials 38
(ix) Abel interpolation series 38
(x) Laguerre polynomials 40
(xi) Angelescu polynomials 41
(xii) Denisyuk polynomials 41
(xiii) Squared Hermite polynomials 41
(xiv) Adhoc polynomials 41
(xv) Actuarial polynomials 42
§11. More general polynomials 42
(xvi) Special hypergeometric polynomials 43
(xvii) Reversed Bessel polynomials 43
(xviii) j difference polynomials 44
(xix) Reversed Hermite polynomials 45
(xx) Rainville polynomials 46
§ 12. Polynomials not in generalized Appell form 46
Chapter III. Representation of functions that are regular at the origin 47
§ 13. Integral representations 47
§ 14. Brenke polynomials 51
(i) Polynomials generated by A(w) (1 —zw)~* 52
(ii) j difference polynomials 54
§15. More general polynomials 55
VIII Contents
§16. Polynomials generated by A(w) (l —zg(w))~* 57
(iii) Taylor series 57
(iv) Lerch polynomials 57
(v) Gegenbauer polynomials 58
(vi) Chebyshev polynomials 58
(vii) Humbert polynomials 58
(viii) Faber polynomials 59
§ 17. Special hypergeometric polynomials 60
(ix) Jacobi polynomials 60
§ 18. Polynomials not in generalized Appell form 61
Chapter IV. Applications 65
§ 19. Uniqueness theorems 65
§ 20. Functional equations 67
Bibliography 71
Index 75
|
| any_adam_object | 1 |
| author | Boas, Ralph Philip 1912-1992 Buck, Robert Creighton |
| author_GND | (DE-588)119350203 |
| author_facet | Boas, Ralph Philip 1912-1992 Buck, Robert Creighton |
| author_role | aut aut |
| author_sort | Boas, Ralph Philip 1912-1992 |
| author_variant | r p b rp rpb r c b rc rcb |
| building | Verbundindex |
| bvnumber | BV009045720 |
| callnumber-first | Q - Science |
| callnumber-label | QA331 |
| callnumber-raw | QA331 |
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| callnumber-sort | QA 3331 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | QH 150 SK 680 |
| ctrlnum | (OCoLC)14246138 (DE-599)BVBBV009045720 |
| dewey-full | 517.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 517 - [Unassigned] |
| dewey-raw | 517.5 |
| dewey-search | 517.5 |
| dewey-sort | 3517.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Wirtschaftswissenschaften |
| edition | 2. print., corr. |
| format | Book |
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| id | DE-604.BV009045720 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:29:11Z |
| institution | BVB |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005986306 |
| oclc_num | 14246138 |
| open_access_boolean | |
| owner | DE-29T DE-20 DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-739 DE-703 DE-355 DE-BY-UBR DE-824 DE-19 DE-BY-UBM DE-706 DE-29 DE-634 DE-11 DE-188 |
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| physical | VIII, 77 S. graph. Darst. |
| psigel | HUB-ZB011200709 |
| publishDate | 1964 |
| publishDateSearch | 1964 |
| publishDateSort | 1964 |
| publisher | Springer |
| record_format | marc |
| series | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| series2 | Ergebnisse der Mathematik und ihrer Grenzgebiete |
| spelling | Boas, Ralph Philip 1912-1992 Verfasser (DE-588)119350203 aut Polynomial expansions of analytic functions by Ralph P. Boas and R. Creighton Buck 2. print., corr. Berlin [u.a.] Springer 1964 VIII, 77 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Ergebnisse der Mathematik und ihrer Grenzgebiete 19 Analise Complexa (Matematica) larpcal Functions Polynomials Polynomerweiterung (DE-588)4175261-2 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 gnd rswk-swf Analytische Funktion (DE-588)4142348-3 gnd rswk-swf Holomorphe Funktion (DE-588)4025645-5 gnd rswk-swf Polynom (DE-588)4046711-9 gnd rswk-swf Approximationstheorie (DE-588)4120913-8 s DE-604 Holomorphe Funktion (DE-588)4025645-5 s Polynom (DE-588)4046711-9 s Analytische Funktion (DE-588)4142348-3 s Polynomerweiterung (DE-588)4175261-2 s Buck, Robert Creighton Verfasser aut Ergebnisse der Mathematik und ihrer Grenzgebiete 19 (DE-604)BV005871160 19 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005986306&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Boas, Ralph Philip 1912-1992 Buck, Robert Creighton Polynomial expansions of analytic functions Ergebnisse der Mathematik und ihrer Grenzgebiete Analise Complexa (Matematica) larpcal Functions Polynomials Polynomerweiterung (DE-588)4175261-2 gnd Approximationstheorie (DE-588)4120913-8 gnd Analytische Funktion (DE-588)4142348-3 gnd Holomorphe Funktion (DE-588)4025645-5 gnd Polynom (DE-588)4046711-9 gnd |
| subject_GND | (DE-588)4175261-2 (DE-588)4120913-8 (DE-588)4142348-3 (DE-588)4025645-5 (DE-588)4046711-9 |
| title | Polynomial expansions of analytic functions |
| title_auth | Polynomial expansions of analytic functions |
| title_exact_search | Polynomial expansions of analytic functions |
| title_full | Polynomial expansions of analytic functions by Ralph P. Boas and R. Creighton Buck |
| title_fullStr | Polynomial expansions of analytic functions by Ralph P. Boas and R. Creighton Buck |
| title_full_unstemmed | Polynomial expansions of analytic functions by Ralph P. Boas and R. Creighton Buck |
| title_short | Polynomial expansions of analytic functions |
| title_sort | polynomial expansions of analytic functions |
| topic | Analise Complexa (Matematica) larpcal Functions Polynomials Polynomerweiterung (DE-588)4175261-2 gnd Approximationstheorie (DE-588)4120913-8 gnd Analytische Funktion (DE-588)4142348-3 gnd Holomorphe Funktion (DE-588)4025645-5 gnd Polynom (DE-588)4046711-9 gnd |
| topic_facet | Analise Complexa (Matematica) Functions Polynomials Polynomerweiterung Approximationstheorie Analytische Funktion Holomorphe Funktion Polynom |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005986306&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV005871160 |
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