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Asymptotic Behavior of the Coefficients of Asymptotic Power Series and Its Relevance to Stokes Phenomena

机译：渐近幂级数系数的渐近性及其与stokes现象的相关性

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摘要

The relevance of the asymptotic behavior of the coefficients of asymptotic power series for the study of Stokes phenomena is considered. A connection problem in the theory of linear difference equations is used as an illustration.

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作者
Immink, G. K.;
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年度 1988
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
Asymptotic properties; Asymptotic series; Power series; Stokes theorem (Vector calculus); Analytic functions; Difference equations; Isomorphism; Saddle points; Series expansion;

机译：渐近性质;渐近系列;幂级数; stokes定理（向量微积分）;解析函数;差分方程;同构;鞍点;级数展开;

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1. On the asymptotics of cosine series in several variables with power coefficients [J] . Kozyakin V. S. Journal of Communications Technology and Electronics . 2015,第12期

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2. Exact Power Series in the Asymptotic Expansion ofthe Matrix Coefficients with the Corner K-type ofPj-Principal Series Representations of Sp(2,R) [J] . Masatoshi IIDA, Takayuki ODA Journal of mathematical sciences, The University of Tokyo . 2008,第4期

机译：Sp（2，R）主角表示的角K型矩阵系数的渐近展开中的精确幂级数
3. Exact Power Series in the Asymptotic Expansion ofthe Matrix Coefficients with the Corner K-type ofPj-Principal Series Representations of Sp(2,R) [J] . Masatoshi IIDA, Takayuki ODA Journal of mathematical sciences, The University of Tokyo . 2008,第4期

机译：Sp（2，R）主角表示的角K型矩阵系数的渐近展开中的精确幂级数
4. OBTAINING THE SELF-SIMILAR ASYMPTOTICS OF SOLUTIONS TO THE NAVIER-STOKES EQUATIONS BY POWER GEOMETRY [C] . M. M. Vasiliev International ISAAC Congress . 2003

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5. An asymptotic series for norms of powers. [D] . Snell, Michael Robert. 1995

机译：幂规范的渐近级数。
6. On the Asymptotic Behavior of the Fourier Coefficients of Mathieu Functions [O] . Gerhard Wolf 2008

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7. Hardy Type Asymptotics for Cosine Series in Several Variables with Decreasing Power-Like Coefficients [O] . Victor Kozyakin 2016

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8. The asymptotic behavior of the solutions of differential equations containing large and rapidly changing coefficients [R] . Lyusternik, L. M., Vishik, M. I. 1967

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Asymptotic Behavior of the Coefficients of Asymptotic Power Series and Its Relevance to Stokes Phenomena

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