On the analytic extension of the Horn's hypergeometric function $H_4$
Copyright policy )On the analytic extension of the Horn's hypergeometric function $H_4$
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.
Special families of functions of several complex variables, Approximation by rational functions, analytic continuation, Appell, Horn and Lauricella functions, branched continued fraction, Horn hypergeometric function, approximation by rational functions, Continuation of analytic objects in several complex variables
Special families of functions of several complex variables, Approximation by rational functions, analytic continuation, Appell, Horn and Lauricella functions, branched continued fraction, Horn hypergeometric function, approximation by rational functions, Continuation of analytic objects in several complex variables
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