Algorithm 498: Airy Functions Using Chebyshev Series Approximations

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Algorithm 498: Airy Functions Using Chebyshev Series Approximations

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ACM Transactions on Mathematical Software (TOMS) archive
Volume 1 , Issue 4 (December 1975) table of contents

Pages: 372 - 379

Year of Publication: 1975

ISSN:0098-3500

Author

P. J. Prince

Mathematics Department, Teesside Polytechnic, Middlesbrough, Cleveland, TS1 3BA, Great Britain

Publisher

ACM New York, NY, USA

Bibliometrics

Downloads (6 Weeks): 5, Downloads (12 Months): 31, Citation Count: 2

Additional Information:

appendices and supplements references cited by index terms collaborative colleagues

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APPENDICES and SUPPLEMENTS

AIRY (498.gz) (5 KB)

Chebyshev series approximations: Airy functions Ai(z), Bi(z) and derivatives for real values of z
Gams: C10d

REFERENCES

Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.

	1	ABRAMOWlTZ, M., AND STEGUN, I.A. Handbook of Mathematical Functwns. Dover Publications, New York, 1965, pp. 446, 448-449, 475-477.
	2	Gillian Bond , M. L. V. Pitteway, Algorithm 301: Airy function, Communications of the ACM, v.10 n.5, p.291-292, May 1967 [doi>10.1145/363282.363302]
	3	Fox, L., AND PARKER, I.B. Chebyshev Polynomzals zn Numerical Analysis. Oxford U. Press, London, 1968, pp. 48-58, 65-68.
	1	ABRAMOWITZ, M., AND STEGUN, I A., Eds. Handbook of Mathematical F~tnchons. Nat. Bur. Standards Appl. Math. Serms 55, U.S. Govt. Printing Office, Washington, D.C., 1964, pp. 267-273.
	2	DAvis, H.T. Tables of Mathematwal Functwns, Vol. II, revised. Prmclpla Press, Tnmty U., San Antomo, Tex., 1963.

CITED BY 2

	B. R. Fabijonas , D. W. Lozier , F. W. J. Olver, Computation of complex Airy functions and their zeros using asymptotics and the differential equation, ACM Transactions on Mathematical Software (TOMS), v.30 n.4, p.471-490, December 2004
	B. R. Fabijonas, Algorithm 838: Airy Functions, ACM Transactions on Mathematical Software (TOMS), v.30 n.4, p.491-501, December 2004

INDEX TERMS

Primary Classification:
G. Mathematics of Computing

Additional Classification:
G. Mathematics of Computing
G.1 NUMERICAL ANALYSIS
G.1.2 Approximation
Subjects: Chebyshev approximation and theory

General Terms:
Algorithms, Theory

Collaborative Colleagues:

P. J. Prince: colleagues

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