Numerically satisfactory solutions of hypergeometric recursions

DOI10.1090/S0025-5718-07-01918-7zbMath1117.33005OpenAlexW2122684087MaRDI QIDQ3433763

Amparo Gil, Javier Segura, Nico M. Temme

Publication date: 2 May 2007

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0025-5718-07-01918-7

zbMATH Keywords

difference equationsasymptotic analysisrecursion relationsGauss hypergeometric functionsnumerical evaluation of special functionsstability of recursion relations

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Cites Work

• The ABC of hyper recursions
• The special functions and their approximations. Vol. I, II
• Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions
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