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Journal of Computational and Applied Mathematics

Volumn 190, Issue 1-2, 2006, Pages 270-286

The ABC of hyper recursions

(3) Gil, Amparo a Segura, Javier a Temme, Nico M b

Author keywords

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

Indexed keywords

FUNCTIONS; GEOMETRY; SET THEORY;

GAUSS HYPERGEOMETRIC FUNCTIONS; NUMERICAL EVALUATION OF SPECIAL FUNCTIONS; RECURSION RELATIONS; STABILITY OF RECURSION RELATIONS;

DIFFERENCE EQUATIONS;

EID: 31944433028 PISSN: 03770427 EISSN: None Source Type: Journal
DOI: 10.1016/j.cam.2005.01.041 Document Type: Conference Paper

Times cited : (16)

References (9)

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- Abramowitz, M.¹ Stegun, I.A.²

2
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- An analytic continuation of the hypergeometric series
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- Bühring, W.¹

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- Forrey, R.C.¹

4
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- Evaluation of Legendre functions of argument greater than one
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- Gil, A.¹ Segura, J.²

5
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- Computing toroidal functions for wide ranges of the parameters
- A. Gil, J. Segura, and N.M. Temme Computing toroidal functions for wide ranges of the parameters J. Comput. Phys. 161 1 2000 204 217
- (2000) J. Comput. Phys. , vol.161 , Issue.1 , pp. 204-217
- Gil, A.¹ Segura, J.² Temme, N.M.³

6
- 0141948083
- Evaluation of associated Legendre functions off the cut and parabolic cylinder functions
- (electronic). Orthogonal polynomials: numerical and symbolic algorithms, Leganés 1998
- J. Segura, A. Gil, Evaluation of associated Legendre functions off the cut and parabolic cylinder functions, Electron. Trans. Numer. Anal. 9 (1999) 137-146 (electronic). Orthogonal polynomials: numerical and symbolic algorithms, Leganés, 1998.
- (1999) Electron. Trans. Numer. Anal. , vol.9 , pp. 137-146
- Segura, J.¹ Gil, A.²

7
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- Wiley-Interscience New York
- N.M. Temme Special Functions. An Introduction to the Classical Functions of Mathematical Physics 1996 Wiley-Interscience New York
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- Temme, N.M.¹

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- Asymptotic expansions of hypergeometric functions
- G.N. Watson Asymptotic expansions of hypergeometric functions Trans. Cambridge Philos. Soc. 22 1918 277 308
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9
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- Pitman Advanced Publishing Program, Boston, MA
- J. Wimp, Computation with Recurrence Relations. Applicable Mathematics Series. Pitman Advanced Publishing Program, Boston, MA, 1984.
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- Wimp, J.¹

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