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Title: Confluent Heun Equation and Confluent Hypergeometric Equation

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.

Authors:
 [1]
  1. St.Petersburg State University (Russian Federation)
Publication Date:
OSTI Identifier:
22774009
Resource Type:
Journal Article
Journal Name:
Journal of Mathematical Sciences
Additional Journal Information:
Journal Volume: 232; Journal Issue: 2; Other Information: Copyright (c) 2018 Springer Science+Business Media, LLC, part of Springer Nature; http://www.springer-ny.com; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1072-3374
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; DIFFERENTIAL EQUATIONS; HYPERGEOMETRIC FUNCTIONS; SCALARS; SINGULARITY; VECTORS

Citation Formats

Slavyanov, S. Yu., E-mail: slav@ss2034.spb.edu, and Salatich, A. A. Confluent Heun Equation and Confluent Hypergeometric Equation. United States: N. p., 2018. Web. doi:10.1007/S10958-018-3865-2.
Slavyanov, S. Yu., E-mail: slav@ss2034.spb.edu, & Salatich, A. A. Confluent Heun Equation and Confluent Hypergeometric Equation. United States. doi:10.1007/S10958-018-3865-2.
Slavyanov, S. Yu., E-mail: slav@ss2034.spb.edu, and Salatich, A. A. Sun . "Confluent Heun Equation and Confluent Hypergeometric Equation". United States. doi:10.1007/S10958-018-3865-2.
@article{osti_22774009,
title = {Confluent Heun Equation and Confluent Hypergeometric Equation},
author = {Slavyanov, S. Yu., E-mail: slav@ss2034.spb.edu and Salatich, A. A.},
abstractNote = {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.},
doi = {10.1007/S10958-018-3865-2},
journal = {Journal of Mathematical Sciences},
issn = {1072-3374},
number = 2,
volume = 232,
place = {United States},
year = {2018},
month = {7}
}