On the analytic extension of the Horn's hypergeometric function H4

Authors

  • R. Dmytryshyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • I.-A. Lutsiv Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine
  • M. Dmytryshyn West Ukrainian National University, 11 Lvivska str., 46009, Ternopil, Ukraine
https://doi.org/10.15330/cmp.16.1.32-39

Keywords:

branched continued fraction, Horn hypergeometric function, approximation by rational functions, convergence, analytic continuation
Published online: 2024-04-02

Abstract

The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function H4 with real and complex parameters. These domains enabled the PC method to establish the analytical extension of analytical functions to their expansions in the studied domains of convergence. A few examples are provided at the end to illustrate this.

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How to Cite
(1)
Dmytryshyn, R.; Lutsiv, I.-A.; Dmytryshyn, M. On the Analytic Extension of the Horn’s Hypergeometric Function H4. Carpathian Math. Publ. 2024, 16, 32-39.