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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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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 p.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;

机译：特征向量; Liouville方程;积分;应用数学;扩展;反演;方法论;扰动;系数;核函数;乘法;收敛;傅里叶变换;

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专利

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. Solving the Volterra integral equations with weakly singular kernel by Taylor expansion methods [C] . Li Huang, Yulin Zhao, LiangTang International Conference on Advanced Design and Manufacturing Engineering . 2012

机译：泰勒膨胀方法用弱奇异内核求解Volterra积分方程
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

机译：具最大值的广义非线性弱奇异延迟积分不等式及其应用
7. Stable summation methods for a class of singular Sturm-Liouville expansions [O] . Harvey Diamond, Mark Kon, Louise Raphael 1981

机译：一类单数Sturm-Liouville扩建的稳定总结方法
8. Summability Methods for Divergent Integrals and Their Applications to Singular Sturm-Liouville Expansions. [R] . Raphael, L. A. 1982

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。

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

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