Definite Integrals using Orthogonality and Integral Transforms
We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2012 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/148725 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Definite Integrals using Orthogonality and Integral Transforms / H.S. Cohl, H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 15 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862598241611153408 |
|---|---|
| author | Cohl, H.S. Volkmer, H. |
| author_facet | Cohl, H.S. Volkmer, H. |
| citation_txt | Definite Integrals using Orthogonality and Integral Transforms / H.S. Cohl, H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 15 назв. — англ. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms.
|
| first_indexed | 2025-11-27T18:46:37Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-148725 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-27T18:46:37Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Cohl, H.S. Volkmer, H. 2019-02-18T18:11:33Z 2019-02-18T18:11:33Z 2012 Definite Integrals using Orthogonality and Integral Transforms / H.S. Cohl, H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 15 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 26A42; 33C05; 33C10; 33C45; 35A08 DOI: http://dx.doi.org/10.3842/SIGMA.2012.077 https://nasplib.isofts.kiev.ua/handle/123456789/148725 We obtain definite integrals for products of associated Legendre functions with Bessel functions, associated Legendre functions, and Chebyshev polynomials of the first kind using orthogonality and integral transforms. This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html.
 This work was conducted while H.S. Cohl was a National Research Council Research Postdoctoral Associate in the Information Technology Laboratory at the National Institute of Standards and Technology, Gaithersburg, Maryland, USA. The authors would also like to acknowledge two anonymous referees whose comments helped improve this paper. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Definite Integrals using Orthogonality and Integral Transforms Article published earlier |
| spellingShingle | Definite Integrals using Orthogonality and Integral Transforms Cohl, H.S. Volkmer, H. |
| title | Definite Integrals using Orthogonality and Integral Transforms |
| title_full | Definite Integrals using Orthogonality and Integral Transforms |
| title_fullStr | Definite Integrals using Orthogonality and Integral Transforms |
| title_full_unstemmed | Definite Integrals using Orthogonality and Integral Transforms |
| title_short | Definite Integrals using Orthogonality and Integral Transforms |
| title_sort | definite integrals using orthogonality and integral transforms |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/148725 |
| work_keys_str_mv | AT cohlhs definiteintegralsusingorthogonalityandintegraltransforms AT volkmerh definiteintegralsusingorthogonalityandintegraltransforms |