Tables of integrals and series: = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Thun [u.a.]
Deutsch
1996
|
| Edition: | 1. Aufl. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 286 S. |
| ISBN: | 3817114389 |
Staff View
MARC
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| 245 | 1 | 0 | |a Tables of integrals and series |b = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen |c von A. Apelblat |
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Record in the Search Index
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| adam_text | IMAGE 1
TABLES OF INTEGRALS
AND SERIES
SAMMLUNG BESTIMMTER, UNENDLICHER UND UNBESTIMMTER INTEGRALE UND
UNENDLICHER REIHEN
VON
A. APELBLAT
VERLAG HARRI DEUTSCH
IMAGE 2
CONTENTS
DEFINITE AND INFINITE INTEGRALS OF ELEMENTARY FUNCTIONS 11 1.1 RATIONAL
AND IRRATIONAL ALGEBRAIC FUNCTIONS 11
1.2 EXPONENTIAL AND ALGEBRAIC FUNCTIONS 18
1.3 LOGARITHMIC FUNCTIONS 23
1.3.1 LOGARITHMIC FUNCTIONS AND POWERS OF X 28
1.3.2 LOGARITHMIC AND RATIONAL ALGEBRAIC FUNCTIONS 32
1.3.3 LOGARITHMIC AND IRRATIONAL ALGEBRAIC FUNCTIONS 52
1.4 LOGARITHMIC, ALGEBRAIC AND EXPONENTIAL FUNCTIONS 66
1.5 TRIGONOMETRIC FUNCTIONS 71
1.5.1 TRIGONOMETRIC AND ALGEBRAIC FUNCTIONS 88
1.5.2 TRIGONOMETRIC, ALGEBRAIC AND EXPONENTIAL FUNCTIONS 93 1.5.3
TRIGONOMETRIC, ALGEBRAIC AND LOGARITHMIC FUNCTIONS 95 1.6 INVERSE
TRIGONOMETRIC FUNCTIONS AND OTHER ELEMANTARY FUNCTIONS . . .. 103 1.7
HYPERBOLIC FUNCTIONS 106
1.7.1 HYPERBOLIC FUNCTIONS AND OTHER ELEMENTARY FUNCTIONS 108
DEFINITE AND INFINITE INTEGRALS OF SPECIAL FUNCTIONS AND OF ELEMENTARY
AND SPECIAL FUNCTIONS 115
2.1 POLYLOGARITHMS AND ELEMENTARY FUNCTIONS 115
2.2 EXPONENTIAL, LOGARITHMIC, SINE, COSINE INTEGRALS AND ELEMENTARY
FUNC- TIONS 119
2.3 GAMMA FUNCTION AND RELATED FUNCTIONS 121
2.3.1 GAMMA, INCOMPLETE GAMMA, PSI (DIGAMMA), POLYGAMMAFUNC- TIONS AND
ELEMENTARY FUNCTIONS 121
2.3.2 VOLTERRA FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER SPECIAL
FUNCTIONS 123
2.4 ERROR FUNCTION, REPEATED INTEGRALS OF THE ERROR FUNCTION, FRESNEL
INTEGRALS, ELEMENTARY FUNCTIONS AND OTHER SPECIAL FUNCTIONS . . . . . .
126 2.5 LEGENDRE FUNCTIONS AND ELEMENTARY FUNCTIONS . 130
2.6 ORTHOGONAL POLYNOMIALS 135
2.6.1 GEGENBAUER, CHEBYSHEV, JACOBI, HERMITE, LAGUERRE POLYNOMIALS AND
ELEMENTARY FUNCTIONS 135
2.7 BESSEL FUNCTIONS AND RELATED FUNCTIONS 140
2.7.1 INTEGRALS INVOLVING ONE BESSEL FUNCTION AND ELEMENTARY FUNC- TIONS
140
2.7.2 INTEGRALS INVOLVING PRODUCT OF TWO BESSEL FUNCTIONS AND ELE-
MENTARY FUNCTIONS 154
2.8 INTEGRALS INVOLVING PRODUCT OF THREE OR MORE BESSEL FUNCTIONS AND
ELEMENTARY FUNCTIONS 166
IMAGE 3
6 CONTENTS
2.8.1 INTEGRALS WITH RESPECT TO THE ORDER OF BESSEL FUNCTIONS . . .. 186
2.8.2 BESSEL FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER SPECIAL FUNC-
TIONS 187
2.8.3 S T R U V E, KELVIN, LOMMEL, AIRY AND BESSEL INTEGRAL FUNC- TIONS,
ELEMENTARY FUNCTIONS AND OTHER SPECIAL FUNCTIONS . . .. 191
2.9 ELLIPTIC INTEGRALS AND ELEMENTARY FUNCTIONS . . . 199
2.10 HYPERGEOMETRIC FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER SPECIAL
FUNCTIONS 201
2.11 CONFLUENT HYPERGEOMETRIC FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER
SPECIAL FUNCTIONS 208
2.12 GENERALIZED HYPERGEOMETRIC FUNCTIONS, ELEMENTARY FUNCTIONS AND
OTHER SPECIAL FUNCTIONS 212
2.13 W H I T T A K ER FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER SPECIAL
FUNC- TIONS 215
2.14 PARABOLIC CYLINDER FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER
SPECIAL FUNCTIONS 218
2.15 M A C R O B E R T S E FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER
SPECIAL FUNCTIONS 222
2.16 BATEMAN FUNCTIONS, ELEMENTARY FUNCTIONS AND OTHER SPECIAL FUNCTIONS
223 2.17 MISCELLANEOUS FUNCTIONS AND ELEMENTARY FUNCTIONS 225
3 INDEFINITE INTEGRALS OF E L E M E N T A RY A ND SPECIAL FUNCTIONS 227
3.1 ALGEBRAIC AND LOGARITHMIC FUNCTIONS 227
3.1.1 TRIGONOMETRIC FUNCTIONS AND OTHER ELEMENTARY FUNCTIONS . . .. 228
3.2 SINE, COSINE INTEGRALS AND L E G E N D RE FUNCTIONS 230
3.2.1 BESSEL FUNCTIONS 231
3.2.2 S T R U V E, KELVIN, AIRY AND BESSEL INTEGRAL FUNCTIONS . . .. 233
3.2.3 PARABOLIC CYLINDER FUNCTIONS 234
4 INFINITE SERIES OF E L E M E N T A RY A ND SPECIAL FUNCTIONS 237
4.1 NUMERICAL SERIES 237
4.1.1 SERIES INVOLVING POWERS AND RATIONAL FUNCTIONS 242
4.1.2 EXPONENTIAL, LOGARITHMIC AND HYPERBOLIC FUNCTIONS 247 4.1.3
TRIGONOMETRIC FUNCTIONS AND INVERSE TRIGONOMETRIC FUNCTIONS . 249 4.2
POLY LOGARITHMS, SINE AND COSINE INTEGRALS, GAMMA AND PSI (DIGAMMA)
FUNCTIONS, RIEMANN ZETA AND GENERALIZED ZETA FUNCTIONS, BERNOULLI
AND EULER NUMBERS AND POLYNOMIALS 252
4.2.1 L E G E N D RE FUNCTIONS 258
4.2.2 ORTHOGONAL POLYNOMIALS 259
4.2.3 BESSEL FUNCTIONS AND RELATED FUNCTIONS 261
4.2.4 CONFLUENT HYPERGEOMETRIC, HYPERGEOMETRIC, GENERALIZED HYPER-
GEOMETRIC, PARABOLIC CYLINDER AND BATEMAN FUNCTIONS . . .. 269 4.3
REDUCTION FORMULAS ASSOCIATED WITH HYPERGEOMETRIC, CONFLUENT HYPER-
GEOMETRIC AND GENERALIZED HYPERGEOMETRIC FUNCTIONS 271
A DEFINITIONS OF FUNCTIONS 277
REFERENCES 283
|
| any_adam_object | 1 |
| author | Apelblat, Alexander |
| author_facet | Apelblat, Alexander |
| author_role | aut |
| author_sort | Apelblat, Alexander |
| author_variant | a a aa |
| building | Verbundindex |
| bvnumber | BV010696146 |
| classification_rvk | SH 500 SK 640 |
| classification_tum | MAT 260k |
| ctrlnum | (OCoLC)246964510 (DE-599)BVBBV010696146 |
| discipline | Mathematik |
| edition | 1. Aufl. |
| format | Book |
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| genre | (DE-588)4155008-0 Formelsammlung gnd-content |
| genre_facet | Formelsammlung |
| id | DE-604.BV010696146 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:57:21Z |
| institution | BVB |
| isbn | 3817114389 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007139626 |
| oclc_num | 246964510 |
| open_access_boolean | |
| owner | DE-29T DE-355 DE-BY-UBR DE-20 DE-384 DE-91G DE-BY-TUM DE-12 DE-706 DE-634 |
| owner_facet | DE-29T DE-355 DE-BY-UBR DE-20 DE-384 DE-91G DE-BY-TUM DE-12 DE-706 DE-634 |
| physical | 286 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Deutsch |
| record_format | marc |
| spelling | Apelblat, Alexander Verfasser aut Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen von A. Apelblat Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen 1. Aufl. Thun [u.a.] Deutsch 1996 286 S. txt rdacontent n rdamedia nc rdacarrier Integral (DE-588)4131477-3 gnd rswk-swf Reihe (DE-588)4049197-3 gnd rswk-swf (DE-588)4155008-0 Formelsammlung gnd-content Reihe (DE-588)4049197-3 s DE-604 Integral (DE-588)4131477-3 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007139626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Apelblat, Alexander Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen Integral (DE-588)4131477-3 gnd Reihe (DE-588)4049197-3 gnd |
| subject_GND | (DE-588)4131477-3 (DE-588)4049197-3 (DE-588)4155008-0 |
| title | Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen |
| title_alt | Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen |
| title_auth | Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen |
| title_exact_search | Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen |
| title_full | Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen von A. Apelblat |
| title_fullStr | Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen von A. Apelblat |
| title_full_unstemmed | Tables of integrals and series = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen von A. Apelblat |
| title_short | Tables of integrals and series |
| title_sort | tables of integrals and series sammlung bestimmter unendlicher und unbestimmter integrale und unendlicher reihen |
| title_sub | = Sammlung bestimmter, unendlicher und unbestimmter Integrale und unendlicher Reihen |
| topic | Integral (DE-588)4131477-3 gnd Reihe (DE-588)4049197-3 gnd |
| topic_facet | Integral Reihe Formelsammlung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007139626&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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