On some domains of convergence of branched continued-fraction expansions of the ratios of Horn hypergeometric functions H4

Authors

  • 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

DOI:

https://doi.org/10.3842/umzh.v74i4.7877

Keywords:

гіпергеометрична функція Горна, гіллястий ланцюговий дріб, голоморфна функція багатьох комплексних змінних, збіжність

Abstract

UDC 517.5

For various conditions imposed  on the parameters of the Horn hypergeometric function H4, 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

Issue

Vol. 76 No. 4 (2024)

Section

Research articles

How to Cite

Dmytryshyn, R., et al. “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. 502-8, https://doi.org/10.3842/umzh.v74i4.7877.