Quadrature processes for efficient calculation of the Clausen functions

被引：0
|
作者：
Golubovic, Zora Lj. [1 ]
Milovanovic, Gradimir V. [2 ,3 ]
机构：
[1] Univ Belgrade, Fac Math, POB 224, Belgrade 11000, Serbia
[2] Serbian Acad Arts & Sci, Belgrade 11000, Serbia
[3] Univ Nis, Fac Sci & Math, POB 224, Nish 18000, Serbia
来源：
BIT NUMERICAL MATHEMATICS | 2023年 / 63卷 / 01期
关键词：
Clausen functions; Numerical computation; Gaussian quadrature; Error estimate; GAUSS-CHRISTOFFEL RULES; SUMMATION FORMULAS; FERMI FUNCTIONS; LINDELOF; PLANA; ABEL; EINSTEIN;
D O I：
10.1007/s10543-023-00944-4
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
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.
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页数：20
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