Generalized associated Legendre functions and their applications:
Gespeichert in:
Hauptverfasser: | , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Singapore [u.a.]
World Scientific
2001
|
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | XX, 195 Seiten graph. Darst. |
ISBN: | 9810243537 |
Internformat
MARC
LEADER | 00000nam a2200000 c 4500 | ||
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007 | t | ||
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020 | |a 9810243537 |9 981-02-4353-7 | ||
035 | |a (OCoLC)247354323 | ||
035 | |a (DE-599)BVBBV026386679 | ||
040 | |a DE-604 |b ger |e rakwb | ||
041 | 0 | |a eng | |
049 | |a DE-188 | ||
082 | 0 | |a 515.53 | |
084 | |a SK 680 |0 (DE-625)143252: |2 rvk | ||
100 | 1 | |a Virčenko, Nina |e Verfasser |4 aut | |
245 | 1 | 0 | |a Generalized associated Legendre functions and their applications |c Nina Virchenko, Iryna Fedotova, National Technical University of Ulraine |
264 | 1 | |a Singapore [u.a.] |b World Scientific |c 2001 | |
300 | |a XX, 195 Seiten |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
700 | 1 | |a Fedotova, Iryna |e Verfasser |4 aut | |
856 | 4 | 2 | |m GBV Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021964073&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-021964073 |
Datensatz im Suchindex
_version_ | 1804144902873808896 |
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adam_text | IMAGE 1
GENERAUZED
ASSOCIATED * P I II
- LEGENDRE FUNCTIONS
AND THEIR APPLICATIONS *
NINA VIRCHENKO IRYNA FEDOTOVAI NATIONAL TECHNICAL UNIVERSIFY OF UKRAINE
V FE WORLD SCIENTIFIC W LL SINQAPORE * NEW JERSEY * LONDON * SINGAPORE *
NEW JERSEY * LONDON * HONG KONG
IMAGE 2
CONTENTS
FOREWORD VII
PREFACE XI
§1. A GENERAL INFORMATION ON LEGENDRE FUNCTIONS 1
§2. THE GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS 11
§3. THE SERIES REPRESENTATIONS OF THE GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS . 17
§4. RELATIONS BETWEEN DIFFERENT SOLUTIONS OF THE GENERALIZED LEGENDRE
EQUATION.
WRONSKIANS OF LINEARLY INDEPENDENT SOLUTIONS 25
§5. RELATIONS BETWEEN CONTIGUOUS GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS 32
§6. DIFFERENTIAL OPERATORS GENERATED BY THE GENERALIZED ASSOCIATED
LEGENDRE EQUATION 35
§7. ASYMPTOTIC FORMULAS FOR THE GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS IN
A NEIGHBORHOOD OF SINGULAR POINTS 40
§8. ASYMPTOTIC REPRESENTATIONS OF THE GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS
AS FUNCTIONS OF PARAMETERS 48
§9. INTEGRAL REPRESENTATIONS OF THE GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS OF
THE FIRST KIND 54
§10. INTEGRAL REPRESENTATIONS OF THE GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS OF
THE SECOND KIND 60
§11. ZEROS OF THE GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS 67
§12. CONNECTION OF THE GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS WITH
THE
JACOBI FUNCTIONS 71
§13. INTEGRAL RELATIONS AND SERIES WITH THE GENERALIZED ASSOCIATED
LEGENDRE
FUNCTIONS 78
§14. RELATIONS BETWEEN THE GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS,
BESSEL
FUNCTIONS, ELLIPTIC INTEGRALS AND INCOMPLETE B-FUNCTIONS 88
§15. INTEGRAL TRANSFORMS WITH THE GENERALIZED ASSOCIATED LEGENDRE
FUNCTIONS 96
XIX
IMAGE 3
XX GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS...
§16. DUAL INTEGRAL EQUATIONS WITH THE GENERALIZED LEGENDRE FUNCTION OF
THE
FIRST KIND P^ +RT (CHA) 116
§ 17. DUAL INTEGRAL EQUATIONS WITH P ^ +H (CH ET) AND THE WEIGHT
FUNCTION [1 + G(X)] 123
§18. TRIPLE INTEGRAL EQUATIONS WITH THE GENERALIZED LEGENDRE FUNCTION
OFTHE FIRST KIND P. 2 +RT (CHA) 126
§19. HYBRID DUAL INTEGRAL EQUATIONS 133
§20. SYSTEMS OF TRIPLE INTEGRAL EQUATIONS WITH THE GENERALIZED
ASSOCIATED
LEGENDRE FUNCTIONS OFTHE FIRST KIND P ^ N (CH A) 137
§21. ON A PROPERTY OFTHE FRACTIONAL RIEMANN-LIOUVILLE INTEGRAL OF P K M,
(Z) 144
§22. ON SOME GENERALIZED INTEGRAL OPERATORS OF BUSCHMAN-ERDELYI S TYPE
147
§23. FACTORIZATION OF INTEGRAL OPERATORS WITH THE GENERALIZED ASSOCIATED
LEGENDRE
FUNCTIONS AND ITS APPLICATION FOR SOLVING INTEGRAL EQUATIONS 152
§24. SOME GENERALIZATIONS OF INTEGRAL TRANSFORMS OF MEHLER-FOCK TYPE AND
THEIR APPLICATIONS 160
§25. EXAMPLES OFTHE INTEGRALS INVOLVING THE GENERALIZED ASSOCIATED
LEGENDRE
FUNCTIONS 171
APPENDIX. THE HYPERGEOMETRIC FUNCTION 175
BIBLIOGRAPHY 183
SUBJECT INDEX 193
|
any_adam_object | 1 |
author | Virčenko, Nina Fedotova, Iryna |
author_facet | Virčenko, Nina Fedotova, Iryna |
author_role | aut aut |
author_sort | Virčenko, Nina |
author_variant | n v nv i f if |
building | Verbundindex |
bvnumber | BV026386679 |
classification_rvk | SK 680 |
ctrlnum | (OCoLC)247354323 (DE-599)BVBBV026386679 |
dewey-full | 515.53 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.53 |
dewey-search | 515.53 |
dewey-sort | 3515.53 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV026386679 |
illustrated | Illustrated |
indexdate | 2024-07-09T23:10:56Z |
institution | BVB |
isbn | 9810243537 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-021964073 |
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publishDate | 2001 |
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spelling | Virčenko, Nina Verfasser aut Generalized associated Legendre functions and their applications Nina Virchenko, Iryna Fedotova, National Technical University of Ulraine Singapore [u.a.] World Scientific 2001 XX, 195 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Fedotova, Iryna Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021964073&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Virčenko, Nina Fedotova, Iryna Generalized associated Legendre functions and their applications |
title | Generalized associated Legendre functions and their applications |
title_auth | Generalized associated Legendre functions and their applications |
title_exact_search | Generalized associated Legendre functions and their applications |
title_full | Generalized associated Legendre functions and their applications Nina Virchenko, Iryna Fedotova, National Technical University of Ulraine |
title_fullStr | Generalized associated Legendre functions and their applications Nina Virchenko, Iryna Fedotova, National Technical University of Ulraine |
title_full_unstemmed | Generalized associated Legendre functions and their applications Nina Virchenko, Iryna Fedotova, National Technical University of Ulraine |
title_short | Generalized associated Legendre functions and their applications |
title_sort | generalized associated legendre functions and their applications |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021964073&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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