DC Field | Value | Language |
---|---|---|
dc.contributor.author | Tričković, Slobodan | en |
dc.contributor.author | Stanković, Miomir | en |
dc.date.accessioned | 2020-12-11T13:04:36Z | - |
dc.date.available | 2020-12-11T13:04:36Z | - |
dc.date.issued | 2006-09-01 | en |
dc.identifier.issn | 1065-2469 | en |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/4384 | - |
dc.description.abstract | This article draws on results from [Triković, S.B. and Stanković, M.S., 2003, On the orthogonality of classical orthogonal polynomials. Integral Transforms and Special Functions , 14(3), 271-280.], where we considered the orthogonality of rational functions W n ( s ) which are obtained as the images of the classical orthogonal polynomials under the Laplace transform. We proved in [Triković, S.B. and Stanković, M.S., 2003, On the orthogonality of classical orthogonal polynomials. International Transaction of Specific Function , 14(3), 271-280.] that the orthogonality relations of the Jacobi polynomials and the standard Laguerre polynomials L n ( x ) are induced by and are equivalent to the orthogonality of rational functions W n ( s ). In this article, we continue in the same manner by considering the generalized Laguerre polynomials and Hermite polynomials H n ( x ). In the last section, we analyze the zeros distribution of the Laplace transform images of the Legendre, Chebyshev, Laguerre and Hermite polynomials. | en |
dc.publisher | Taylor & Francis | - |
dc.relation.ispartof | Integral Transforms and Special Functions | en |
dc.subject | Classical orthogonal polynomials | Laplace transform | en |
dc.title | A new approach to the orthogonality of the Laguerre and Hermite polynomials | en |
dc.type | Article | en |
dc.identifier.doi | 10.1080/10652460500421926 | en |
dc.identifier.scopus | 2-s2.0-33746791516 | en |
dc.relation.firstpage | 661 | en |
dc.relation.lastpage | 672 | en |
dc.relation.issue | 9 | en |
dc.relation.volume | 17 | en |
dc.description.rank | M23 | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.openairetype | Article | - |
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