DC Field | Value | Language |
---|---|---|
dc.contributor.author | Milovanović, Gradimir | en_US |
dc.contributor.author | Stanić, Marija P. | en_US |
dc.contributor.author | Tomović Mladenović, Tatjana V. | en_US |
dc.date.accessioned | 2023-11-23T13:47:08Z | - |
dc.date.available | 2023-11-23T13:47:08Z | - |
dc.date.issued | 2024 | - |
dc.identifier.issn | 0377-0427 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5215 | - |
dc.description.abstract | In this paper we consider weighted integrals with respect to a modification of the generalized Laguerre weight functions wα(x)=xαe−x, α>−1, on (0,+∞) by the oscillatory factor exp(iζx), where ζ>0. For calculation of such integrals for analytic real-valued functions in D={z∈ℂ∣Rez≥0,Imz≥0} we construct polynomials orthogonal with respect to the linear functional L:P→ℂ, given by L[p]=∫0+∞p(x)wα(x)exp(iζx)dx, where P is a linear space of all algebraic polynomials, as well as the corresponding quadrature rules of Gaussian type. The existence of such orthogonal polynomials and the corresponding three-term recurrence relations are proved. A few numerical examples are presented, including computation of the Cauchy principal value integrals. | en_US |
dc.publisher | Elsevier | en_US |
dc.relation.ispartof | Journal of Computational and Applied Mathematics | en_US |
dc.subject | Gaussian quadrature rule | Integration of highly oscillatory functions | Modified generalized Laguerre weight | Orthogonal polynomials | Three-term recurrence relations | en_US |
dc.title | Gaussian type quadrature rules related to the oscillatory modification of the generalized Laguerre weight functions | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.cam.2023.115476 | - |
dc.identifier.scopus | 2-s2.0-85167840431 | - |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | en_US |
dc.relation.firstpage | 115476 | - |
dc.relation.volume | 437 | - |
dc.description.rank | ~M21 | - |
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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