The calculation of certain Bessel functions
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- Math. Comp. 18 (1964), 123-128 Request permission
References
- Henry E. Fettis, Numerical calculation of certain definite integrals by Poissonβs summation formula, Math. Tables Aids Comput. 9 (1955), 85β92. MR 72546, DOI 10.1090/S0025-5718-1955-0072546-0
- M. Goldstein and R. M. Thaler, Bessel functions for large arguments, Math. Tables Aids Comput. 12 (1958), 18β26. MR 102906, DOI 10.1090/S0025-5718-1958-0102906-3
- M. Goldstein and R. M. Thaler, Recurrence techniques for the calculation of Bessel functions, Math. Tables Aids Comput. 13 (1959), 102β108. MR 105794, DOI 10.1090/S0025-5718-1959-0105794-5
- E. T. Goodwin, The evaluation of integrals of the form $\int ^\infty _{-\infty } f(x) e^{-x^{2}} dx$, Proc. Cambridge Philos. Soc. 45 (1949), 241β245. MR 29281, DOI 10.1017/s0305004100024786
- Yudell L. Luke, Simple formulas for the evaluation of some higher transcendental functions, J. Math. and Phys. 34 (1956), 298β307. MR 78047, DOI 10.1002/sapm1955341298
- Irene A. Stegun and Milton Abramowitz, Generation of Bessel functions on high speed computers, Math. Tables Aids Comput. 11 (1957), 255β257. MR 93939, DOI 10.1090/S0025-5718-1957-0093939-3
- A. M. Turing, A method for the calculation of the zeta-function, Proc. London Math. Soc. (2) 48 (1943), 180β197. MR 9612, DOI 10.1112/plms/s2-48.1.180
- G. N. Watson, A Treatise on the Theory of Bessel Functions, Cambridge University Press, Cambridge, England; The Macmillan Company, New York, 1944. MR 0010746
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Math. Comp. 18 (1964), 123-128
- MSC: Primary 33.25
- DOI: https://doi.org/10.1090/S0025-5718-1964-0158104-3
- MathSciNet review: 0158104