Slavyanov, S. Yu. Asymptotic solutions of the one-dimensional Schrödinger equation. Transl. from the Russian by Vadim Khidekel. (English) Zbl 0847.34007 Translations of Mathematical Monographs. 151. Providence, RI: American Mathematical Society (AMS). xvi, 190 p. (1996). The Russian original (Moscow 1988, Leningrad 1990) has been reviewed in Zbl 0791.34002. In the preface to the English translation the author explains why he decided not to modify the text, he mentions the major recent achievements in the field and gives a short list of additional references. Cited in 16 Documents MSC: 34-02 Research exposition (monographs, survey articles) pertaining to ordinary differential equations 34E05 Asymptotic expansions of solutions to ordinary differential equations 81Q05 Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics 33C10 Bessel and Airy functions, cylinder functions, \({}_0F_1\) Citations:Zbl 0791.34002 PDFBibTeX XMLCite \textit{S. Yu. Slavyanov}, Asymptotic solutions of the one-dimensional Schrödinger equation. Transl. from the Russian by Vadim Khidekel. Providence, RI: AMS, American Mathematical Society (1996; Zbl 0847.34007) Digital Library of Mathematical Functions: §31.13 Asymptotic Approximations ‣ Properties ‣ Chapter 31 Heun Functions