On some domains of convergence of branched continued-fraction expansions of the ratios of Horn hypergeometric functions $H_4$

  • R. Dmytryshyn Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk https://orcid.org/0000-0003-2845-0137
  • I.-A. Lutsiv Vasyl Stefanyk Precarpathian National University, Ivano-Frankivsk
  • M. Dmytryshyn West Ukrainian National University, Ternopil
  • C. Cesarano International University of Telematics UNINETTUNO, Rome, Italy

Abstract

UDC 517.5

For various conditions imposed  on the parameters of the Horn hypergeometric function $H_4$, we study different domains of convergence of the branched continued-fraction expansions  of the ratios of these functions.

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Published
26.04.2024
How to Cite
Dmytryshyn, R., I.-A. Lutsiv, M. Dmytryshyn, and C. Cesarano. “On Some Domains of Convergence of Branched Continued-Fraction Expansions of the Ratios of Horn Hypergeometric Functions $H_4$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 76, no. 4, Apr. 2024, pp. 502 -08, doi:10.3842/umzh.v74i4.7877.
Section
Research articles