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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 140–146
DOI: https://doi.org/10.14498/vsgtu727 (Mi vsgtu727) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical Modeling

Numeric-analytical approach to integrals calculation at construction of orthogonal models

S. A. Prokhorov, I. M. Kulikovskikh

Dept. of Information Systems and Technologies, S. P. Korolyov Samara State Aerospace University, Samara
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(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu727
Abstract: The numeric-analytical method of calculation of the integrals is proposed for construction of orthogonal models. The given method allows to increase the accuracy of orthogonal models due to obtained algebraic and recurrent relations for integrals used. Comparative analysis of various orthogonal functions which are the specific cases of Jacobi and Sonin–Laguerre bases is carried out when solving the posed problem. Realization of the developed algorithms is given by the example of construction of correlation orthogonal model in the Laguerre basis.
Keywords: method of integrals calculation, orthogonal model, recurrence relations, correlation function, stochastic process.
Original article submitted 04/IX/2009
revision submitted – 08/X/2009
Bibliographic databases:
Document Type: Article
UDC: 517.587+519.216
MSC: 93B40, 42C05, 33C45
Language: Russian
Citation: S. A. Prokhorov, I. M. Kulikovskikh, “Numeric-analytical approach to integrals calculation at construction of orthogonal models”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 140–146
Citation in format AMSBIB
\Bibitem{ProKul09}
\by S.~A.~Prokhorov, I.~M.~Kulikovskikh
\paper Numeric-analytical approach to integrals calculation at construction of orthogonal models
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 140--146
\mathnet{http://mi.mathnet.ru/vsgtu727}
\crossref{https://doi.org/10.14498/vsgtu727}
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  • https://www.mathnet.ru/eng/vsgtu/v119/p140
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    References:47
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