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Approximation of the lauricella hypergeometric functionsF (N)D by branched continued fractions

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Abstract

Applying recursion relations for the Lauricella hypergeometric functions F NlD , we construct an expansion of a ratio of these functions in branched continued fractions. We study the convergence of the resulting expansion in the case of real 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. Exton,Multiple Hypergeometric Functions and Applications, Ellis Horwood, New York-Sydney-Toronto-Chichester (1976).

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  3. G. Lauricella, “Sulle funzioni ipergeometriche a piu variabili,”Rend. Circ. Mat. Palermo,7, 111–113 (1893).

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Authors
  1. N. P. Molnar
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Additional information

Translated fromMatematichni Metodi ta Fiziko-Mekhanichni Polya, Vol. 39, No. 2, 1996, pp. 70–74.

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Molnar, N.P. Approximation of the lauricella hypergeometric functionsF (N)D by branched continued fractions. J Math Sci 90, 2381–2384 (1998). https://doi.org/10.1007/BF02433971

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  • DOI: https://doi.org/10.1007/BF02433971

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