Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions
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Publication:3426027
DOI10.1090/S0025-5718-07-01934-5zbMath1110.33001OpenAlexW2127529702MaRDI QIDQ3426027
Publication date: 7 March 2007
Published in: Mathematics of Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0025-5718-07-01934-5
hypergeometric functionscontinued fractionsrecurrence relationscondition and stabilitynumerical evolution of special functions
Computation of special functions and constants, construction of tables (65D20) Continued fractions; complex-analytic aspects (30B70) Classical hypergeometric functions, ({}_2F_1) (33C05) Convergence and divergence of continued fractions (40A15) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)
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Cites Work
- The numerical computation of the confluent hypergeometric function U(a,b,z)
- Numerically satisfactory solutions of hypergeometric recursions
- Anomalous Convergence of a Continued Fraction for Ratios of Kummer Functions
- Numerical Methods for Special Functions
- Computational Aspects of Three-Term Recurrence Relations
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