Accession Number : AD0690866

Title :   TABLES OF ASSOCIATED LEGENDRE FUNCTIONS OF THE FIRST AND SECOND KIND OF VERY LARGE DEGREE WITH ARGUMENTS NEAR UNITY,

Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s) : Hanish,S. ; Baier,R. V. ; Berkowitz,R. L. ; Van Buren,A. L. ; Buckler,W. H.

Report Date : 30 JUN 1969

Pagination or Media Count : 58

Abstract : Formulas useful for the numerical calculation of small-order and very-large-degree associated Legendre functions of the first and second kind, P(superscript m subscription n)(x) and Q(superscript m subscript n)(x), together with their first derivatives, are listed and explained. A digital computer printout of 2560 entries of these functions for arguments close to unity, previously unpublished, is reproduced. The ranges of parameters m, n, and x covered in these tables are: m = 0(1)2, n = 0(1)79, and x = 1.1, 1.01, 1.001, 1.0001, 1.00001, 1.000001, 1.0000001, and 1.00000001. (Author)

Descriptors :   (*SPECIAL FUNCTIONS(MATHEMATICAL), *TABLES(DATA)), (*ACOUSTICS, WAVE FUNCTIONS), ACOUSTICS, WAVE FUNCTIONS

Subject Categories : Numerical Mathematics
      Acoustics

Distribution Statement : APPROVED FOR PUBLIC RELEASE