First-Order Ode Systems Generating Confluent Heun Equations

A. A. Salatich, S. Yu. Slavyanov, O. L. Stesik

Research outputpeer-review


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.

Original languageEnglish
Pages (from-to)427-432
Number of pages6
JournalJournal of Mathematical Sciences (United States)
Issue number3
Publication statusPublished - 1 Dec 2020

Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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