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Some examples of the generalized Borel transform approach to the complex WKB method

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Abstract

We present here an illustration of our general approach and the results of [1] for the special case of a secondorder differential equation.

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Literature Cited

  1. V. P. Gurarii and V. I. Matsaev, “The complex Green-Liouville (WKB) method and generalized Borel transform,”Theor. Math. Phys.,100, No. 2, 173–182 (1994).

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  2. V. P. Gurarii, V. I. Matsaev, and N. T. Ruzmatova, In:Analytic Methods in Probability and Operator Theory, Naukova Dumka, Kiev (1990), p. 145–154.

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  3. V. P. Gurarii,The group methods of commutative Harmonic Analysis. Encyclopedia of Mathematical Sciences. Vol. 25, Springer-Verlag (1994).

  4. M. Abramowitz and I. A. Stegun,Handbook of Mathematical Functions. National Bureau of Standards, Applied Mathematics. Series 55, June 1964.

  5. T. Aoki, T. Kawai, and Y. Takei, “The Bender-Wu Analysis and the Voros Theory,” In: ICM-90Satellite Conf. Proc. “Special Functions,” Springer-Verlag (1991), pp. 1–29.

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Authors
  1. V. P. Gurarii
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  2. V. I. Matsaev
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Additional information

Institute of Chemical Physics, Russian Academy of Sciences, 142432 Chernogolovka, Moscow Region, E-mails: gurarii@icph.sherna.msk.su, gurarii@g1684.chg.free.net.; Tel-Aviv University, E-mail:matsaev@math.tau.ac.il. Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 100, No. 3, pp. 332–341, September, 1994.

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Gurarii, V.P., Matsaev, V.I. Some examples of the generalized Borel transform approach to the complex WKB method. Theor Math Phys 100, 1046–1054 (1994). https://doi.org/10.1007/BF01018569

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  • DOI: https://doi.org/10.1007/BF01018569

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