Numerically satisfactory solutions of hypergeometric recursions

Mathematics of Computation

Volumn 76, Issue 259, 2007, Pages 1449-1468

  Gil, Amparo ^a   Segura, Javier ^a   Temme, Nico M ^b  

^a UNIVERSITY OF CANTABRIA   (Spain)

^b CWI   (Netherlands)

Author keywords

Asymptotic analysis; Difference equations; Gauss hypergeometric functions; Numerical evaluation of special functions; Recursion relations; Stability of recursion relations

Indexed keywords

EID: 40249085363     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-07-01918-7     Document Type: Article

References (6)

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2. A. Deaño, J. Segura. Transitory minimal solutions of hypergeometric recursions and pseudoconvergence of associated continued fractions. Accepted for publication in Mathematics of Computation.
3. A. Gil, J. Segura, N. M. Temme. The ABC of hyper recursions. J. Comput. Appl. Math.
4. Y. L. Luke. The special functions and their approximations, Vol. I. Mathematics in Science and Engineering, Vol. 53., Academic Press, New York, 1969. MR0241700 (39:3039)
5. G.N. Watson. Asymptotic expansions of hypergeometric functions. Trans. Cambridge Philos. Soc., 22:277-308, 1918.
6. J. Wimp. Computation with recurrence relations. Applicable Mathematics Series. Pitman (Advanced Publishing Program). Boston, MA. 1984. MR0727118 (85f:65001)