WKB analysis of higher order Painlevé equations with a large parameter—Local reduction of 0-parameter solutions for Painlevé hierarchies (PJ)(J=I,II-1 or II-2)

Author:

Kawai Takahiro,Takei Yoshitsugu

Publisher

Elsevier BV

Subject

General Mathematics

Reference29 articles.

1. On the exact WKB analysis of microdifferential operators of WKB type;Aoki;Ann. Inst. Fourier (Grenoble),2004

2. T. Aoki, T. Kawai, Y. Takei, The Bender–Wu Analysis and the Voros Theory, in: Special Functions, Springer, Berlin, 1991, pp. 1–29.

3. Algebraic analysis of singular perturbations—on exact WKB analysis—;Aoki;Sugaku Expositions,1995

4. WKB analysis of Painlevé transcendents with a large parameter. II;Aoki,1996

5. Microlocal reduction of ordinary differential operators with a large parameter;Aoki;Publ. RIMS, Kyoto Univ.,1993

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1. General formal solutions for a unified family of $P_{\mathrm{J}}$-hierarchies (J=I, II, IV, 34);Journal of the Mathematical Society of Japan;2019-07-01

2. On the Stokes Geometry of a Unified Family of $P_\mathrm J$-Hierarchies (J=I, II, IV, 34);Publications of the Research Institute for Mathematical Sciences;2019-01-04

3. Instanton-type solutions for the second and the fourth Painlevé hierarchies with a large parameter;Journal of the Mathematical Society of Japan;2015-07-01

4. On WKB Theoretic Transformations for Painlevé Transcendents on Degenerate Stokes Segments;Publications of the Research Institute for Mathematical Sciences;2015

5. Parametric Stokes Phenomenon for the Second Painlevé Equation;Funkcialaj Ekvacioj;2014

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