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Validated computation of certain hypergeometric functions

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Publication:2989148
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DOI10.1145/2049673.2049675zbMath1365.65046OpenAlexW2066124515WikidataQ113310420 ScholiaQ113310420MaRDI QIDQ2989148

Michel Colman, Joris Van Deun, Annie A. M. Cuyt

Publication date: 19 May 2017

Published in: ACM Transactions on Mathematical Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/2049673.2049675


zbMATH Keywords

hypergeometric functionscontinued fractionsvalidated software


Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05) Convergence and divergence of continued fractions (40A15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05) Software, source code, etc. for problems pertaining to special functions (33-04)


Related Items (2)

Contiguous relations, Laplace's methods, and continued fractions for \({}_3F_2(1)\) ⋮ Computing Hypergeometric Functions Rigorously




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