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Expansion of the Ratio of Appel Hypergeometric Functions F 3 into a Branching Continued Fraction and its Limit Behavior

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Abstract

Recursion relations for Appel hypergeometric functions F 3 are derived. Based on these relations, the ratio of Appel functions is expanded into a branching continued fraction. The convergence of this expansion is analyzed.

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References

  1. D. I. Bodnar, Problems in the analytical theory of branching continued fractions [in Russian], Doctoral dissertation in physical and mathematical sciences, Lviv (1989).

  2. O. S. Manzii, “Expansion of the ratio of Appel hypergeometric functions F 3 into a branching continued fraction, ” Bull. of the State University “Lviv Polytechnics,” 346, 3–9 (1998).

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Authors
  1. D. I. Bodnar
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  2. O. S. Manzii
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Bodnar, D.I., Manzii, O.S. Expansion of the Ratio of Appel Hypergeometric Functions F 3 into a Branching Continued Fraction and its Limit Behavior. Journal of Mathematical Sciences 107, 3550–3554 (2001). https://doi.org/10.1023/A:1011977720316

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  • DOI: https://doi.org/10.1023/A:1011977720316

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