Stieltjes continued fractions for polygamma functions; speed of convergence

DOI10.1016/j.cam.2004.09.034zbMath1074.33001OpenAlexW2068291967MaRDI QIDQ1779434

William B. Jones, Catherine M. Bonan-Hamada

Publication date: 1 June 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.09.034

zbMATH Keywords

polygamma functionsStieltjes continued fractions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Continued fractions and generalizations (11J70) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items

A continued fraction approximation of the gamma function ⋮ The Riemann \(\zeta \) function and asymptotics for Stieltjes fractions ⋮ Emergence of new category of continued fractions from the Sturm-Liouville problem and the Schrödinger equation

Cites Work

• A proof of Freud's conjecture for exponential weights
• Continued fractions in numerical analysis
• Continued fractions with applications
• Continued Fractions for the PSI Function and Its Derivatives
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