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The New York Mathematical Tables Project, IV - Tables of Associated Legendre Functions. Pp. xliv, 306. 7 1/4″ × 10 1/2″ 1945. $5.00; 30s. Prepared by the Mathematical Tables Project, conducted under the sponsorship of the National Bureau of Standards; technical director, Arnold N Lowan. (Columbia University Press, New York. British Agents, Scientific Computing Service, 23 Bedford Square, London, W.C. 1.

Published online by Cambridge University Press:  03 November 2016

J. C. P. Miller
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Type
Reviews
Information
The Mathematical Gazette , Volume 30 , Issue 291 , October 1946 , pp. 239 - 242
Copyright
Copyright © Mathematical Association 1946

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References

page note 239 * in these descriptions Pn(x) is the Legendre Polynomial of degree n, when n is an integer, and Qn(x) is the corresponding Legendre function of the second kind. We use the NYMTP notation Pn m(x), etc., for the associated functions, rather than Pnw(x), etc., as adopted in the index of Mathematical Tables, by A. Fletcher, J. C. P, Miller and L. Rosenhead, 1946.

page note 242 * Tables of Pn(x) for 1≤ x ≤11, prepared by L. J Comrie (see the Report of the Mathematical Tables Committee, B.A. Report for 1932, pp. 263-264), of Pn m(ix) and Qn m(ix) by J. N. Sarmousakis (see Math. Tables and other Aids to Computation, 1, 127, 1943) and several tables collected or compiled by H. T. Davis (see p. xlvi of the book under review) have, however, existed in manuscript for some years; the B.A. tables have now been published (see the review below).