Published July 7, 2008
| Version v1
Journal article
The generalized Yablonskii-Vorob'ev polynomials and their properties
Creators
- 1. Department of Applied Mathematics, Moscow Engineering and Physics Institute (State university), 31 Kashirskoe Shosse, 115409 Moscow (Russian Federation)
Description
Rational solutions of the generalized second Painleve hierarchy are classified. Representation of the rational solutions in terms of special polynomials, the generalized Yablonskii-Vorob'ev polynomials, is introduced. Differential-difference relations satisfied by the polynomials are found. Hierarchies of differential equations related to the generalized second Painleve hierarchy are derived. One of these hierarchies is a sequence of differential equations satisfied by the generalized Yablonskii-Vorob'ev polynomials
Availability note (English)
Available from http://dx.doi.org/10.1016/j.physleta.2008.04.069Additional details
Identifiers
- DOI
- 10.1016/j.physleta.2008.04.069;
- PII
- S0375-9601(08)00744-5;
Publishing Information
- Journal Title
- Physics Letters. A
- Journal Volume
- 372
- Journal Issue
- 29
- Journal Page Range
- p. 4885-4890
- ISSN
- 0375-9601
- CODEN
- PYLAAG
INIS
- Country of Publication
- Netherlands
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 40046582
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S99: GENERAL AND MISCELLANEOUS;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; MATHEMATICAL SOLUTIONS; POLYNOMIALS
- Descriptors DEC
- EQUATIONS; FUNCTIONS
Optional Information
- Copyright
- Copyright (c) 2008 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.