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Multidimensional chain sequences andg-fractions

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Abstract

We study the polydisk region of convergence for a multidimensional g-fraction, give the definition of a multidimensional chain sequence, and prove the existence of its minimal and maximal parameters.

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Literature Cited

  1. D. I. Bodnar,Branched Continued Fractions [in Russian], Naukova Dumka, Kiev (1986).

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  2. H. Runckel, “Bounded analytic functions in the unit disk and the behaviour of certain analytic continued fractions near the singular line,”J. reine angew. Math,281, 97–125 (1976).

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  3. H. Runckel, “Continuity on the boundary and analytic continuation of continued fractions,”J. reine angew. Math.,148, 189–205 (1976).

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  4. H. S. Wall,Analytic Theory of Continued Fractions, Van Nostrand, New York (1948).

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Authors
  1. R. I. Dmitrishin
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Additional information

Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 50–54.

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Dmitrishin, R.I. Multidimensional chain sequences andg-fractions. J Math Sci 90, 2363–2367 (1998). https://doi.org/10.1007/BF02433967

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  • DOI: https://doi.org/10.1007/BF02433967

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