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Definite Integrals using Orthogonality and Integral Transforms
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Definite Integrals using Orthogonality and Integral Transforms
Інший ID:
2010 Mathematics Subject Classification: 26A42; 33C05; 33C10; 33C45; 35A08
DOI: http://dx.doi.org/10.3842/SIGMA.2012.077
DOI: http://dx.doi.org/10.3842/SIGMA.2012.077
Посилання:
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.
Підтримка:
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.
Дата:
2012
Переглядів:
575
Завантажень:
257
Анотація:
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.
