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Algorithm 644. A portable package for Bessel functions of a complex argument and nonnegative order
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AMOS, D. E. 1986. Algorithm 644. A portable package for Bessel functions of a complex argument and nonnegative order. ACM Trans. Math. Softw. 12, 3, 265-273.
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84976668371
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Remark on Algorithm 644
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AMOS, D. E. 1990. Remark on Algorithm 644. ACM Trans. Math. Softw. 16, 4, 404.
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A remark on Algorithm 644
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AMOS, D. E. 1995. A remark on Algorithm 644. ACM Trans. Math. Softw. 21, 4, 388-393.
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4
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An algorithm for regular and irregular Coulomb and Bessel functions of real order to machine accuracy
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Barnett, A.R.1
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5
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0000305372
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KLEIN: Coulomb functions for real λ and positive energy to high accuracy
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BARNETT, A. R. 1981b. KLEIN: Coulomb functions for real λ and positive energy to high accuracy. Comput. Phys. Commun. 24, 141-159.
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BLEISTEIN, N. AND HANDELSMAN, R. A. 1975. Asymptotic Expansions of Integrals. Holt, Rinehart, and Winston, New York.
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Asymptotic Expansions of Integrals
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Bleistein, N.1
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7
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12744256442
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Algorithm 301. Airy function
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BOND, G. AND PITTEWAY, M. L. V. 1967. Algorithm 301. Airy function. Commun. ACM 10, 5, 291-292.
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Bond, G.1
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8
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0003471368
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New York
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CHAR, B. W., GEDDES, K. O., GONNET, G. H., LEONG, B., MONAOHAN, M., AND WATT, S. 1991. MAPLE V Library Reference Manual. New York.
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MAPLE V Library Reference Manual
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Char, B.W.1
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Watt, S.6
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9
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0000728656
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A differential equation method for the numerical evaluation of the Airy, Pearcey, and Swallowtail canonical integrals and their derivatives
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CONNOR, J. N. L., CURTIS, P. R., AND FARRELLY, D. 1983. A differential equation method for the numerical evaluation of the Airy, Pearcey, and Swallowtail canonical integrals and their derivatives. Molec. Physics 48, 6, 1305-1330.
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Connor, J.N.L.1
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0039884525
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Numerical evaluation of Airy functions with complex arguments
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CORLESS, R. M., JEFFREY, D. J., AND RASMUSSEN, H. 1992. Numerical evaluation of Airy functions with complex arguments. J. Comput. Phys. 99, 1, 106-114.
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Corless, R.M.1
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12744271502
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Algorithm 838: Airy functions
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FABIJONAS, B. R. 2004. Algorithm 838: Airy functions. ACM Trans. Math. Softw. 30, 4, 491-501.
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Fabijonas, B.R.1
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FABIJONAS, B. R., LOZIER, D. W. AND RAPPOPORT, J. M. 2003. Algorithms and codes for Macdonald functions: recent progress and comparisons. J. Comput. Appl. Math. 161, 179-192.
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Fabijonas, B.R.1
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0033352742
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On the reversion of an asymptotic expansion and the zeros of the Airy functions
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FABIJONAS, B. R. AND OLVER, F. W. J. 1999. On the reversion of an asymptotic expansion and the zeros of the Airy functions. SIAM Rev. 41, 4, 762-773.
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Fabijonas, B.R.1
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0040620160
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Algorithm 819: AIZ, BIZ: Two Fortran 77 routines for the computation of complex Airy functions
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GIL, A., SEGURA, J., AND TEMME, N. M. 2002. Algorithm 819: AIZ, BIZ: Two Fortran 77 routines for the computation of complex Airy functions. ACM Trans. Math. Softw. 28, 3, 325-336.
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Gil, A.1
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Asymptotic solutions of linear differential equations
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On approximate solutions of linear differential equations
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Jeffreys, H.1
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0003730939
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Airy and Bessel functions by parallel integration of ODEs
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R. Sincovec, D. Keyes, M. Leuze, L. Petzold, and D. Reed, Eds. Society for Industrial and Applied Mathematics
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LOZIER, D. W. AND OLVER, F. W. J. 1993. Airy and Bessel functions by parallel integration of ODEs. In Proceedings of the Sixth SIAM Conference on Parallel Processing for Scientific Computing, R. Sincovec, D. Keyes, M. Leuze, L. Petzold, and D. Reed, Eds. Vol. 2. Society for Industrial and Applied Mathematics, 530-538.
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The Airy Integral
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Miller, J.C.P.1
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Miller, J.C.P.1
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12744267505
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Higher monotonicity properties of certain Sturm-Liouville functions V
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The asymptotic expansion of Bessel functions of large order
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OLVER, F. W. J. 1974. Asymptotics and Special Functions. Academic Press, New York. Reprinted by AK Peters, Wellesley, 1997.
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0348122102
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Airy Functions, Chapter AI
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National Institute of Standards and Technology
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OLVER, F. W. J. 1998. Airy Functions, Chapter AI. In Digital Library of Mathematical Functions Project. National Institute of Standards and Technology, http://dlmf.nist.gov.
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Algorithm 498. Airy functions using Chebyshev series approximations
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PRINCE, P. J. 1975. Algorithm 498. Airy functions using Chebyshev series approximations. ACM Trans. Math. Softw. 1, 4, 372-379.
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Prince, P.J.1
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An algorithm for the evaluation of the complex Airy functions
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Schulten, Z.1
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12744259066
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The zeros and maxima of the Airy function and its first derivative to 25 significant figures
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ASTIA AD214568, Air Force Cambridge Research Center. April
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SHERRY, M. 1959. The zeros and maxima of the Airy function and its first derivative to 25 significant figures. Tech. Rep. AFCRC-TR-59-135, ASTIA AD214568, Air Force Cambridge Research Center. April.
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Wong, R.1
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