TABLES OF PROLATE SPHEROIDAL FUNCTIONS FOR M EQUALS O. VOLUME I.

Abstract

The eigenvalues lambda (c) and normalization constants N(c) are tabulated for c = 0.1(0.1)10.0 and n ranging from 0 up to a maximum of 20. The radial functions of the first and second kinds, and their first derivatives, are given for the same c and n for xi = 1.0000500, 1.0050378, 1.0206207 and 1.1547005, corresponding to prolate spheroids of length-to-width ratios 100:1, 10:1, 5:1 and 2:1 respectively. Values of the angular functions are contained in a companion report (7133-2-T). All computations were carried out on The University of Michigan IBM 7090 computer. The program, which can also be used for the determination of the functions of orders 1 and 2, is described in some detail. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0619979

Entities

People

  • D. B. Kirk
  • E. R. Wittenberg
  • H. E. Hunter
  • T. B. A. Senior

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Computations
  • Computers
  • Computing Devices
  • Continents
  • Differential Equations
  • Eigenvalues
  • Equations
  • Geographic Regions
  • Mathematical Analysis
  • Mathematics
  • Michigan
  • North America
  • Universities

Fields of Study

  • Mathematics

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