Opuscula Mathematica
Opuscula Math. 35, no. 5 (2015), 803-823

Alien derivatives of the WKB solutions of the Gauss hypergeometric differential equation with a large parameter

Mika Tanda
Abstract. We compute alien derivatives of the WKB solutions of the Gauss hypergeometric differential equation with a large parameter and discuss the singularity structures of the Borel transforms of the WKB solution expressed in terms of its alien derivatives.
Keywords: hypergeometric differential equation, WKB solution, Voros coefficient, alien derivative, Stokes curve, fixed singularity.
Mathematics Subject Classification: 33C05, 34M40, 34M60.
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About the authors ▼
Mika Tanda
Interdisciplinary Graduate School of Science and Engineering, Kinki University, Higashi-Osaka, Osaka 577-8502, Japan
About the article ▼
Communicated by Yoshishige Haraoka.
Received: 2014-03-31.
Revised: 2015-02-03.
Accepted: 2015-02-05.
Published online: 2015-04-27.
Cite this article as ▼
Mika Tanda, Alien derivatives of the WKB solutions of the Gauss hypergeometric differential equation with a large parameter, Opuscula Math. 35, no. 5 (2015), 803-823, http://dx.doi.org/10.7494/OpMath.2015.35.5.803.
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