First-Order Ode Systems Generating Confluent Heun Equations

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First-Order Ode Systems Generating Confluent Heun Equations. / Salatich, A. A.; Slavyanov, S. Yu.; Stesik, O. L.

In: Journal of Mathematical Sciences (United States), Vol. 251, No. 3, 01.12.2020, p. 427-432.

Research output: Contribution to journal › Article › peer-review

Author

Salatich, A. A. ; Slavyanov, S. Yu. ; Stesik, O. L. / First-Order Ode Systems Generating Confluent Heun Equations. In: Journal of Mathematical Sciences (United States). 2020 ; Vol. 251, No. 3. pp. 427-432.

BibTeX

@article{3c7f4fe9b6e24c08bf2071d23f28d553,

title = "First-Order Ode Systems Generating Confluent Heun Equations",

abstract = "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 Painlev{\'e} 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.",

author = "Salatich, {A. A.} and Slavyanov, {S. Yu.} and Stesik, {O. L.}",

note = "Salatich, A.A., Slavyanov, S. & Stesik, O.L. First-Order Ode Systems Generating Confluent Heun Equations. J Math Sci 251, 427–432 (2020). https://doi.org/10.1007/s10958-020-05102-7",

year = "2020",

month = dec,

day = "1",

doi = "10.1007/s10958-020-05102-7",

language = "English",

volume = "251",

pages = "427--432",

journal = "Journal of Mathematical Sciences",

issn = "1072-3374",

publisher = "Springer Nature",

number = "3",

}

RIS

TY - JOUR

T1 - First-Order Ode Systems Generating Confluent Heun Equations

AU - Salatich, A. A.

AU - Slavyanov, S. Yu.

AU - Stesik, O. L.

N1 - Salatich, A.A., Slavyanov, S. & Stesik, O.L. First-Order Ode Systems Generating Confluent Heun Equations. J Math Sci 251, 427–432 (2020). https://doi.org/10.1007/s10958-020-05102-7

PY - 2020/12/1

Y1 - 2020/12/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85094637435&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/16bb5c2c-e89e-367c-b56e-bc70da5a42d6/

U2 - 10.1007/s10958-020-05102-7

DO - 10.1007/s10958-020-05102-7

M3 - Article

AN - SCOPUS:85094637435

VL - 251

SP - 427

EP - 432

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 3

ER -

ID: 71424394