Recursive computation of the repeated integrals of the error function.
HTML articles powered by AMS MathViewer
- by Walter Gautschi PDF
- Math. Comp. 15 (1961), 227-232 Request permission
References
- W. G. Bickley, L. J. Comrie, J. C. P. Miller, D. H. Sadler, and A. J. Thompson, Bessel functions. Part II. Functions of positive integer order, British Association for the Advancement of Science, Mathematical Tables, vol. 10, University Press, Cambridge, 1952. MR 0050973
- Fernando J. Corbató and Jack L. Uretsky, Generation of spherical Bessel functions in digital computers, J. Assoc. Comput. Mach. 6 (1959), 366–375. MR 105792, DOI 10.1145/320986.320991 A. Erdélyi, et al., Higher Transcendental Functions, Vol. II, McGraw-Hill Book Co., Inc., New York, 1953.
- Walter Gautschi, Recursive computation of certain integrals, J. Assoc. Comput. Mach. 8 (1961), 21–40. MR 119392, DOI 10.1145/321052.321054
- M. Goldstein and R. M. Thaler, Recurrence techniques for the calculation of Bessel functions, Math. Tables Aids Comput. 13 (1959), 102–108. MR 105794, DOI 10.1090/S0025-5718-1959-0105794-5
- Joseph Kaye, A table of the first eleven repeated integrals of the error function, J. Math. and Phys. 34 (1955), 119–125. MR 69575, DOI 10.1002/sapm1955341119 National Physical Laboratory, Tables of Weber Parabolic Cylinder Functions, J. C. P. Miller, Editor, H. M. Stationery Office, London, 1955.
- A. Rotenberg, The calculation of toroidal harmonics, Math. Comput. 14 (1960), 274–276. MR 0115264, DOI 10.1090/S0025-5718-1960-0115264-4
- Irene A. Stegun and Milton Abramowitz, Generation of Bessel functions on high speed computers, Math. Tables Aids Comput. 11 (1957), 255–257. MR 93939, DOI 10.1090/S0025-5718-1957-0093939-3
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Math. Comp. 15 (1961), 227-232
- MSC: Primary 65.25
- DOI: https://doi.org/10.1090/S0025-5718-1961-0136074-9
- MathSciNet review: 0136074