TY  - JOUR
ID  - Takei2015
LB  - Takei2015
AU  - Takei, Yoshitsugu
TI  - On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations
ST  - On the multisummability of WKB solutions of certain singularly perturbed linear ordinary differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2015
VL  - 35
IS  - 5
SP  - 775
EP  - 802
DO  - http://dx.doi.org/10.7494/OpMath.2015.35.5.775
UR  - http://dx.doi.org/10.7494/OpMath.2015.35.5.775
AB  - Using two concrete examples, we discuss the multisummability of WKB solutions of singularly perturbed linear ordinary differential equations. Integral representations of solutions and a criterion for the multisummability based on the Cauchy-Heine transform play an important role in the proof.
KW  - exact WKB analysis
KW  - WKB solution
KW  - multisummability
SN  - 1232-9274
ER  -