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Stable pairing states of superfluid 3He in aerogel are examined in the case with a global uniaxial anisotropy which may be created by applying an uniaxial stress to the aerogel. Due to such a global anisotropy, the stability region of an ABM pairing state becomes wider. In an uniaxially stretched aerogel, the pure polar pairing state with a horizontal line node is predicted to occur, as a 3d superfluid phase, over a measurable width just below the superfluid transition at T_c(P). A possible relevance of the present results to the case with no global anisotropy is also discussed.

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