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arXiv · 1605.08960

The violation of a uniqueness theorem and an invariant in the application of Poincaré--Perron theorem to Heun's equation

Yoon-Seok Choun
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Abstract

The domain of convergence of a Heun function obtained through the Poincaré--Perron (P--P) theorem is not absolute convergence but conditional one [2]. We show that a uniqueness theorem is not available if we apply the P--P theorem into the Heun's equation. We verify that the uniqueness theorem is only applicable when a local Heun function is absolutely convergent.

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Yoon-Seok Choun. 2023-08-03. The violation of a uniqueness theorem and an invariant in the application of Poincaré--Perron theorem to Heun's equation. https://arxiv.org/abs/1605.08960

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