Continued fractions and the polygamma functions

DOI10.1016/0377-0427(83)90026-2zbMath0517.44006OpenAlexW2012692641MaRDI QIDQ1053219

K. O. Bowman, L. R. Shenton

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0377-0427(83)90026-2

zbMATH Keywords

Stieltjes moment problemStieltjes transformspolygamma functionsHamburger form of the Stieltjes integralmonotonic approximantsmonotonic sequencesStieltjes continued fractions

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Gamma, beta and polygamma functions (33B15) Approximation by rational functions (41A20) Continued fractions; complex-analytic aspects (30B70) Convergence and divergence of continued fractions (40A15)

Related Items

A continued fraction approximation of the gamma function ⋮ Fast convergent quasipower series for some elementary and special functions

Cites Work

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• Continued Fractions for the PSI Function and Its Derivatives