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Summability Methods for Divergent Integrals and Their Applications to Singular Sturm-Liouville Expansions.

机译：发散积分的可积性方法及其在奇异sturm-Liouville扩张中的应用。

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摘要

These two papers continue the investigation of the Stieltjes summability method, its generalizations and their application to summing singular Sturm-Liouville (S-L) eigenfunctions. (Author)

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Raphael, L. A.;
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年度 1982
页码 1-29
总页数 29
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Eigenvectors; Liouville equation; Integrals; Applied mathematics; Expansion; Inversion; Methodology; Perturbations; Coefficients; Kernel functions; Multiplication; Convergence; Fourier transformation; Divergent integrals; Sturm-Liouville equation; Stieltje integrals; Sum rules;

机译：特征向量; Liouville方程;积分;应用数学;扩展;反演;方法;扰动;系数;核函数;乘法;收敛;傅里叶变换;发散积分; sturm-Liouville方程; stieltje积分;和规则;

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1. A SPECTRAL TRANSFORM METHOD FOR SINGULAR STURM-LIOUVILLE PROBLEMS WITH APPLICATIONS TO ENERGY DIFFUSION IN PLASMA PHYSICS [J] . Wilkening Jon, Cerfon Antoine SIAM Journal on Applied Mathematics . 2015,第2期

机译：Sturm-Liouville问题的谱变换方法及其在等离子体物理中的能量扩散
2. Non-singular boundary integral methods for fluid mechanics applications [J] . Klaseboer E., Sun Q., Chan D.Y.C. Journal of Fluid Mechanics . 2012,第Null期

机译：流体力学应用中的非奇异边界积分方法
3. Exponentially converging Nystr?m's methods for systems of singular Integral equations with applications to open/closed strip- or slot-loaded 2-D structures [J] . Tsalamengas J.L. IEEE Transactions on Antennas and Propagation . 2006,第5期

机译：奇异积分方程组的指数收敛Nystr？m方法及其在开/关带或槽加载的二维结构中的应用
4. An Appropriate Method for Eigenvalues Approximation of Sixth-order Sturm-Liouville Problems by Using Integral Operation Matrix over the Chebyshev Polynomials [C] . M. Allame, H. Ghasemi, M. Tavassoli Kajani International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences . 2015

机译：通过在Chebyshev多项式上使用积分运算矩阵来实现近似六阶Sturm-Liouville问题的适当方法
5. A unified interpretation for singular and near-singular integrals in the boundary element method. [D] . Rosen, Dan. 1993

机译：边界元法中奇异积分和近奇积分的统一解释。
6. Generalized nonlinear weakly singular retarded integral inequalities with maxima and their applications [O] . Yong Yan, Derong Zhou, Jianglin Zhao -1

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7. Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability [O] . Sidi Avram 1987

机译：在可积性意义上定义的发散振荡无穷积分的外推方法

Summability Methods for Divergent Integrals and Their Applications to Singular Sturm-Liouville Expansions.

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