Confluent Heun Equation and Confluent Hypergeometric Equation
- Authors: Slavyanov S.Y.1, Salatich A.A.1
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Affiliations:
- St.Petersburg State University
- Issue: Vol 232, No 2 (2018)
- Pages: 157-163
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241279
- DOI: https://doi.org/10.1007/s10958-018-3865-2
- ID: 241279
Cite item
Abstract
The confluent Heun equation and the confluent hypergeometric equation are studied in scalar and vector forms with particular emphasis on the role of apparent singularities. A relation to the Painlevé equation is established.
About the authors
S. Yu. Slavyanov
St.Petersburg State University
Author for correspondence.
Email: slav@ss2034.spb.edu
Russian Federation, St.Petersburg
A. A. Salatich
St.Petersburg State University
Email: slav@ss2034.spb.edu
Russian Federation, St.Petersburg