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On Fourier Series in the Context of Jacobi Matrices

Title
On Fourier Series in the Context of Jacobi Matrices
Type
Article in International Scientific Journal
Year
2024
Authors
Matos, JMA
(Author)
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vasconcelos, pb
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FEP
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Matos, JAO
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Journal
Title: AxiomsImported from Authenticus Search for Journal Publications
Vol. 13 No. 9
Final page: 581
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Publicação em ISI Web of Knowledge ISI Web of Knowledge - 0 Citations
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Authenticus ID: P-016-ZSC
Abstract (EN): We investigate the properties of matrices that emerge from the application of Fourier series to Jacobi matrices. Specifically, we focus on functions defined by the coefficients of a Fourier series expressed in orthogonal polynomials. In the operational formulation of integro-differential problems, these infinite matrices play a fundamental role. We have derived precise calculation formulas for their elements, enabling exact computation of these operational matrices. Numerical results illustrate the effectiveness of our approach.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 16
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