Improvement in recurrence techniques for the computation of Bessel functions of integral order

Author:
Fr. Mechel

Journal:
Math. Comp. **22** (1968), 202-205

DOI:
https://doi.org/10.1090/S0025-5718-68-99886-4

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References | Additional Information

**[1]**I. A. Stegun & M. Abramowitz, "Generation of Bessel functions on high speed computers,"*MTAC*, v. 11, 1957, pp. 255-257. MR**20**#459. MR**0093939 (20:459)****[2]**M. Goldstein & R. M. Thaler, "Recurrence techniques for the calculation of Bessel functions,"*MTAC*, v. 13, 1959, pp. 102-108. MR**21**#4530. MR**0105794 (21:4530)****[3]**M. Abramowitz & I. A. Stegun, (Editors),*Handbook of Mathematical Functions, with Formulas, Graphs, and Mathematical Tables*, Dover, New York, 1966, pp. 386, 452.**[4]**C. W. Clenshaw,*Chebyshev Series for Mathematical Functions*, Nat. Phys. Lab. Math. Tables, Vol. 5, Dept. Scientific and Indust. Research, Her Majesty's Stationery Office, London, 1962. MR**26**#362. MR**0142793 (26:362)****[5]**C. Hastings, Jr. & J. P. Wong, Jr., "Analytical approximations,"*MTAC*, v. 8, 1954, p. 46. MR**0064483 (16:289c)****[6]**A. J. M. Hitchcock, "Polynomial approximations to Bessel functions of order zero and one and to related functions,"*MTAC*, v. 11, 1957, pp. 186-188. MR**19**, 64. MR**0085598 (19:64b)****[7]**J. Wimp, "Polynomial expansions of Bessel functions and some associated functions,"*Math. Comp.*, v. 16, 1962, pp. 446-458. MR**26**#6452. MR**0148956 (26:6452)**

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-68-99886-4

Article copyright:
© Copyright 1968
American Mathematical Society