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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 197–205 (Mi znsl5982)  

Uniform asymptotic expantions for the solution of Stueckelberg's system with turning points

I. N. Yakushina

Saint Petersburg State University
Abstract: Uniform asymptotic approximations for the solutions of Stueckelberg's system with analytic potentials are constructed in the neighborhood of the top of the potential barrier and in the neighborhood of the potential curve-crossing point in terms of parabolic cylinder functions. Bibliography: 11 titles.
Received: 25.07.1994
English version:
Journal of Mathematical Sciences (New York), 1997, Volume 86, Issue 3, Pages 2787–2792
DOI: https://doi.org/10.1007/BF02355169
Bibliographic databases:
Document Type: Article
UDC: 517.941
Language: Russian
Citation: I. N. Yakushina, “Uniform asymptotic expantions for the solution of Stueckelberg's system with turning points”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 197–205; J. Math. Sci. (New York), 86:3 (1997), 2787–2792
Citation in format AMSBIB
\Bibitem{Yak94}
\by I.~N.~Yakushina
\paper Uniform asymptotic expantions for the solution of Stueckelberg's system with turning points
\inbook Mathematical problems in the theory of wave propagation. Part~24
\serial Zap. Nauchn. Sem. POMI
\yr 1994
\vol 218
\pages 197--205
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl5982}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1492177}
\zmath{https://zbmath.org/?q=an:0933.34093}
\transl
\jour J. Math. Sci. (New York)
\yr 1997
\vol 86
\issue 3
\pages 2787--2792
\crossref{https://doi.org/10.1007/BF02355169}
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