Geodesic
Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 220-233 Cet article a éte moissonné depuis la source Math-Net.Ru

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Asymptotic representations are obtained for the solutions of a second-order linear differential equation with coefficient having finite smoothness and containing a complex parameter $\zeta$. The asymptotic solutions are expressed in terms of parabolic cylinder functions, and the estimate for the correction to the leading term of the asymptotic expression is uniform with respect to $\arg\zeta$. 
@article{ZNSL_1976_62_a17,
     author = {Z. A. Yanson},
     title = {Asymptotics of solutions of second-order differential equations with two turning points and a complex {parameter.~I}},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {220--233},
     year = {1976},
     volume = {62},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a17/}
}
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Z. A. Yanson. Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 8, Tome 62 (1976), pp. 220-233. http://geodesic.mathdoc.fr/item/ZNSL_1976_62_a17/