The paper considers the branched continued fraction extensions of special ratios of Horn's hypergeometric functions with real parameters and variables. Truncation error bounds are established for such expansions with certain conditions on their coefficients. Some domains of analytical continuation of the above-mentioned special ratios are also established using the PF method (based on the so-called property of fork for approximants of a branched continued fraction).
Truncation error bounds of branched continued fraction expansions of special ratios of Horn's hypergeometric functions H4
Roman Dmytryshyn
;Clemente Cesarano;
2025-01-01
Abstract
The paper considers the branched continued fraction extensions of special ratios of Horn's hypergeometric functions with real parameters and variables. Truncation error bounds are established for such expansions with certain conditions on their coefficients. Some domains of analytical continuation of the above-mentioned special ratios are also established using the PF method (based on the so-called property of fork for approximants of a branched continued fraction).File in questo prodotto:
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