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On the simpleness of zeros of Stokes multipliers

D. T. Trinh
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Abstract

The aim of this paper is to discuss the simpleness of zeros of Stokes multipliers associated with the differential equation $-Φ''(X) + W(X)Φ(X) =0$, where $ W(X) = X^{m} +a_{1}X^{m-1}+... +a_{m}$ is a real monic polynomial. We show that, under a suitable hypothesis on the coefficients $a_k$, all the zeros of the Stokes multipliers are simple.

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D. T. Trinh. 2005-03-08. On the simpleness of zeros of Stokes multipliers. https://arxiv.org/abs/math/0503159

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