First-Order Ode Systems Generating Confluent Heun Equations

被引：0
|
作者：
Salatich A.A. [1 ]
Slavyanov S.Y. [1 ]
Stesik O.L. [1 ]
机构：
[1] St.Petersburg State University, St.Petersburg
来源：
Journal of Mathematical Sciences | 2020年 / 251卷 / 3期
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D O I：
10.1007/s10958-020-05102-7
中图分类号：
学科分类号：
摘要：
We study the relation between linear second-order equations that are confluent Heun equations, namely, the biconfluent and triconfluent Heun equations, and first-order linear systems of equations generating Painlevé equations. The generation process is interpreted in physical terms as antiquantization. Technically, the study in volves manipulations with polynomials. The complexity of computations sometimes requires using computer algebra systems. Bibliography: 13 titles. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.
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页码：427 / 432
页数：5
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