期刊
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES
卷 55, 期 3, 页码 200-207出版社
PLEIADES PUBLISHING INC
DOI: 10.3103/S1068362320030036
关键词
linear ordinary differential equation; Heun function; isomonodromy deformation
类别
资金
- National Science Center (Poland) [OPUS 2017/25/ B/BST1/00931]
- Alexander von Humboldt Foundation
- Armenian State Committee of Science (SCS) [18RF-139, 18T-1C276]
- Armenian National Science and Education Fund (ANSEF grant) [PS-4986]
- Russian-Armenian (Slavonic) University
The Heun functions satisfy linear ordinary differential equations of second order with certain singularities in the complex plane. The first order derivatives of the Heun functions satisfy linear second order differential equations with one more singularity. In this paper we compare these equations with linear differential equations isomonodromy deformations of which are described by the Painleve ' equations P-II - P-VI.
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