Pringsheim theorem for continued fractions
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1: 1.12 Continued Fractions
§1.12 Continued Fractions
… ►Fractional Transformations
… ►Pringsheim’s Theorem
… ►Van Vleck’s Theorem
… ►2: 13.5 Continued Fractions
§13.5 Continued Fractions
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13.5.1
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►This continued fraction converges to the meromorphic function of on the left-hand side everywhere in .
For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980).
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►This continued fraction converges to the meromorphic function of on the left-hand side throughout the sector .
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3: 13.17 Continued Fractions
§13.17 Continued Fractions
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13.17.1
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►This continued fraction converges to the meromorphic function of on the left-hand side for all .
For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980).
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►This continued fraction converges to the meromorphic function of on the left-hand side throughout the sector .
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