Note on the Computation of the Bessel Function

Author:
Derrick Henry Lehmer

Journal:
Math. Comp. **1** (1944), 133-135

DOI:
https://doi.org/10.1090/S0025-5718-44-99053-8

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References | Additional Information

**[1]**Such Bessel functions have been used recently at the statistical laboratory of the University of California in preparation of certain statistical tables to appear in*Annals of Math. Statistics*. See also: J. Wishart, ``A note on the distribution of the correlation ratio,''*Biometrika*, v. 24, 1932, p. 454, formula (27).**[2]**The most extensive tables of are in B.A.A.S.,*Math. Tables*, v. 6,*Bessel Functions*, part I, Cambridge, 1937, Tables VI and VIII.**[3]**J. W. Nicholson,*Phil. Mag.*s. 6, v. 20, 1910, p. 938-943.**[4]**The 's may be checked by the relation ; also , where is the th Bernoulli number, in the notation of Lucas.**[5]**D. F. E. Meissel,*Astr. Nach.*v. 130, 1892, cols. 363-4.**[6]**G. N. Watson,*A Treatise on the Theory of Bessel Functions*, Cambridge 1922, p. 228.

Additional Information

DOI:
https://doi.org/10.1090/S0025-5718-44-99053-8

Article copyright:
© Copyright 1944
American Mathematical Society