Trinh Duc Tai On the Sturm-Liouville problem for the complex cubic oscillator. (English) Zbl 1076.34026 Asymptotic Anal. 40, No. 3-4, 211-234 (2004). The author considers the Sturm-Liouville problem associated with a one-parameter family of non-Hermitian Hamiltonians. By an exact asymptotic method, he gives some results on the eigenvalues and also on the distribution of zeros of eigenfunctions. Reviewer: Mohammed Bouchekif (Tlemcen) Cited in 4 Documents MSC: 34B24 Sturm-Liouville theory 34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators 34B40 Boundary value problems on infinite intervals for ordinary differential equations Keywords:Sturm-Liouville problem; PT-symmetry; semi-classical asymptotics; Green’s transform; resurgence PDFBibTeX XMLCite \textit{Trinh Duc Tai}, Asymptotic Anal. 40, No. 3--4, 211--234 (2004; Zbl 1076.34026)