APPROXIMATIONS FOR SOME RADIAL MATHIEU FUNCTIONS,

Abstract

Approximations are given for radial Mathieu functions of the first kind and second kind and for their derivatives. The results are essentially truncated series involving polynomials and the logarithm o parameters. The approximations are based on a knowledge of the usual expansions associated with the Mathieu functions (i. e., Fourier representations of the periodic functions, Bessel-functions series for the radial functions, etc.), and on the well-known series for the Bessel functions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1963
Accession Number
AD0431889

Entities

People

  • J. E. Burke

Organizations

  • Sylvania Electric Products

Tags

DTIC Thesaurus Topics

  • Bessel Functions
  • Functions (Mathematics)
  • Mathematics
  • Periodic Functions
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Statistical inference.