Geodesic
Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type
Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 613-624

Voir la notice de l'article provenant de la source Math-Net.Ru

Several classes of asymptotic solutions of the discrete Painlevé equation of second type (dPII) for large values of the independent variable are found. The cases of complex and real solutions are considered. as well as special solutions related to symmetric group representations.
Keywords: discrete Painlevé equation of second type, Painlevé transcendents, asymptotic solutions, elliptic functions, symmetric group representations. 
@article{MZM_2022_112_4_a9,
     author = {V. Yu. Novokshenov},
     title = {Asymptotic {Solutions} of the {Discrete} {Painlev\'e} {Equation} of {Second} {Type}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {613--624},
     publisher = {mathdoc},
     volume = {112},
     number = {4},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a9/}
}
TY  - JOUR
AU  - V. Yu. Novokshenov
TI  - Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type
JO  - Matematičeskie zametki
PY  - 2022
SP  - 613
EP  - 624
VL  - 112
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a9/
LA  - ru
ID  - MZM_2022_112_4_a9
ER  - 
%0 Journal Article
%A V. Yu. Novokshenov
%T Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type
%J Matematičeskie zametki
%D 2022
%P 613-624
%V 112
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a9/
%G ru
%F MZM_2022_112_4_a9
V. Yu. Novokshenov. Asymptotic Solutions of the Discrete Painlev\'e Equation of Second Type. Matematičeskie zametki, Tome 112 (2022) no. 4, pp. 613-624. http://geodesic.mathdoc.fr/item/MZM_2022_112_4_a9/