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On the analytic extension of the Horn's hypergeometric function $H_4$
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The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function $H_4$ 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.
Vasyl Stefanyk Precarpathian National University
Title: On the analytic extension of the Horn's hypergeometric function $H_4$
Description:
The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function $H_4$ 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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