Asymptotic Analysis of the Confluent Hypergeometric Partial Differential Equations Satisfied by Φ_2, I

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  • Asymptotic Analysis of the Confluent Hypergeometric Partial Differential Equations Satisfied by ファイ 2 I

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The purpose of this paper is to analyze the system of confluent hypergeometric partial differential equations satisfied by Φ_2 in P^1(C)×P^1(C) from the view point of Gevrey asymptotic analysis and κ-summability. This system possesses the singular loci x=0, y=0, x=y of regular type and x=∞, y=∞ of irregular type. We treat it, near the irregular singularity x=∞ or y=∞ except (x, y)=(∞, ∞).

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