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

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 A digital computer printout of 2560 entries of these functions for arguments close to unity, previously unpublished, is reproduced.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)

Document Details

Document Type
Technical Report
Publication Date
Jun 30, 1969
Accession Number
AD0690866

Entities

People

  • A. L. Van Buren
  • R. L. Berkowitz
  • R. V. Baier
  • S. Hanish
  • W. H. Buckler

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Complex Variables
  • Computers
  • Computing Devices
  • Digital Computers
  • Functions (Mathematics)
  • Legendre Functions

Readers

  • Analytical Mechanics
  • Calculus or Mathematical Analysis
  • Library and Information Science