The relation between the Bessel function and the Borel sum of the WKB solution

DOI10.1515/9783110611427-006zbMath1444.33003OpenAlexW4213167079MaRDI QIDQ3299928

Mika Tanda, Toshinori Takahashi

Publication date: 27 July 2020

Published in: Complex Differential and Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/9783110611427-006

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40) Singular perturbation problems for ordinary differential equations in the complex domain (complex WKB, turning points, steepest descent) (34M60)

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On the Borel summability of WKB solutions of certain Schrödinger-type differential equations ⋮ The hypergeometric function, the confluent hypergeometric function and WKB solutions

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