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On the approximation of an appell hypergeometric function by a branched continued fraction

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Abstract

We study the question of the boundedness of the approximants to the branched continued fraction expansion of a ratio of Appell hypergeometric functions.

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Literature Cited

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

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  2. D. I. Bodnar, Expansion of the ratio of hypergeometric functions of two variables in branched continued fractions,”Mat. Met. Fiz.-Mekh. Polya, No. 32, 40–44 (1990).

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  3. P. Appell,Fonctions hypergéométriques et hyperspheriques. Polynomes d'Hermite, Gauthier-Villars, Paris (1926).

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Authors
  1. O. S. Manzii
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Additional information

Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 65–69.

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Manzii, O.S. On the approximation of an appell hypergeometric function by a branched continued fraction. J Math Sci 90, 2376–2380 (1998). https://doi.org/10.1007/BF02433970

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  • DOI: https://doi.org/10.1007/BF02433970

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