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Title: | Quadrature processes for efficient calculation of the Clausen functions | Authors: | Golubović, Zora Lj. Milovanović, Gradimir V. |
Affiliations: | Real and Functional Analysis | Keywords: | Clausen functions;Error estimate;Gaussian quadrature;Numerical computation | Issue Date: | 1-Mar-2023 | Rank: | M22 | Publisher: | Springer | Journal: | BIT Numerical Mathematics | Abstract: | The Clausen functions arise in numerous applications. An efficient summation/integration method for the numerical calculation of these functions of arbitrary order is proposed in this paper. The method is based on a modification of an earlier method and it does not require the construction of the coefficients in the three-term recurrence relation for the corresponding orthogonal polynomials, but only a transformation of orthogonal polynomials from the real line to the positive semiaxis. Numerical experiments are also included. |
URI: | https://research.matf.bg.ac.rs/handle/123456789/1298 | ISSN: | 00063835 | DOI: | 10.1007/s10543-023-00944-4 |
Appears in Collections: | Research outputs |
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