Zeros of Bernoulli, generalized Bernoulli and Euler polynomials:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
1988
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
386 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 73, Number 386 (end of volume) |
| Physical Description: | IV, 94 S. graph. Darst. |
Staff View
MARC
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| 245 | 1 | 0 | |a Zeros of Bernoulli, generalized Bernoulli and Euler polynomials |c Karl Dilcher |
| 264 | 1 | |a Providence, RI |c 1988 | |
| 300 | |a IV, 94 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 386 | |
| 500 | |a Volume 73, Number 386 (end of volume) | ||
| 650 | 7 | |a Algebra |2 larpcal | |
| 650 | 4 | |a Bernoulli polynomials | |
| 650 | 4 | |a Euler polynomials | |
| 650 | 0 | 7 | |a Bernoullisches Polynom |0 (DE-588)4144710-4 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text | Table of Contents
Introduction 1
1. Preliminaries
1.1. Bernoulli polynomials 5
1.2. Generalized Bernoulli polynomials 6
1.3. Euler polynomials 9
2. Maximum modulus of zeros 10
2.1. The normalized polynomials 11
2.2. The Enestrom Kakeya Theorem 13
2.3. Behaviour of the Sx(a) 15
2.4. Behaviour of the oj.n) 20
2.5. Conclusion of the proof 31
2.6. Special cases 37
2.7. The minimum modulus 39
3. Zero free strips
3.1. Strips for Bernoulli polynomials 42
3.2. Strips of increasing width 44
3.3. Other zero free regions 52
3.4. Generalized Bernoulli polynomials 54
4. Parabolic zero free regions
4.1. Sections of the sine and cosine functions 56
4.2. Zero free regions for the Tn(x) 61
4.3. Zero free regions for Bn(x) and B^(x) 63
4.4. Sharpness 73
5. Real zeros
5.1. The case n = 6 (mod 2) 77
5.2. The case n ^ 6 (mod 2) 83
Tables 88
References 91
|
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| discipline | Mathematik |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:45:26Z |
| institution | BVB |
| language | English |
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| physical | IV, 94 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
| publishDateSort | 1988 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Dilcher, Karl 1954- Verfasser (DE-588)172044324 aut Zeros of Bernoulli, generalized Bernoulli and Euler polynomials Karl Dilcher Providence, RI 1988 IV, 94 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 386 Volume 73, Number 386 (end of volume) Algebra larpcal Bernoulli polynomials Euler polynomials Bernoullisches Polynom (DE-588)4144710-4 gnd rswk-swf Eulersches Polynom (DE-588)4201652-6 gnd rswk-swf Eulersches Polynom (DE-588)4201652-6 s DE-604 Bernoullisches Polynom (DE-588)4144710-4 s American Mathematical Society: Memoirs of the American Mathematical Society 386 (DE-604)BV008000141 386 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004053340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Dilcher, Karl 1954- Zeros of Bernoulli, generalized Bernoulli and Euler polynomials American Mathematical Society: Memoirs of the American Mathematical Society Algebra larpcal Bernoulli polynomials Euler polynomials Bernoullisches Polynom (DE-588)4144710-4 gnd Eulersches Polynom (DE-588)4201652-6 gnd |
| subject_GND | (DE-588)4144710-4 (DE-588)4201652-6 |
| title | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials |
| title_auth | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials |
| title_exact_search | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials |
| title_full | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials Karl Dilcher |
| title_fullStr | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials Karl Dilcher |
| title_full_unstemmed | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials Karl Dilcher |
| title_short | Zeros of Bernoulli, generalized Bernoulli and Euler polynomials |
| title_sort | zeros of bernoulli generalized bernoulli and euler polynomials |
| topic | Algebra larpcal Bernoulli polynomials Euler polynomials Bernoullisches Polynom (DE-588)4144710-4 gnd Eulersches Polynom (DE-588)4201652-6 gnd |
| topic_facet | Algebra Bernoulli polynomials Euler polynomials Bernoullisches Polynom Eulersches Polynom |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=004053340&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT dilcherkarl zerosofbernoulligeneralizedbernoulliandeulerpolynomials |