On convergence of branched continued fraction expansions of Horn's hypergeometric function $H_3$ ratios

DOI10.15330/CMP.13.3.642-650OpenAlexW4200324982WikidataQ114006986 ScholiaQ114006986MaRDI QIDQ5037424

T. M. Antonova

Publication date: 1 March 2022

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.13.3.642-650

zbMATH Keywords

convergencebranched continued fractionHorn's hypergeometric function \(H_3\)

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions; complex-analytic aspects (30B70) Appell, Horn and Lauricella functions (33C65) Convergence and divergence of continued fractions (40A15)

Related Items (2)

Three- and four-term recurrence relations for Horn's hypergeometric function $H_4$ ⋮ Branched continued fraction representations of ratios of Horn's confluent function $\mathrm{H}_6$

Cites Work

• Some properties of approximants for branched continued fractions of the special form with positive and alternating-sign partial numerators
• On convergence criteria for branched continued fraction
• Unnamed Item

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