Power Series for the Calculation of Bessel Functions for Large Arguments. Provides J sub NU (X) and Y sub NU (X), Accurate to at Least 14 Places.

Abstract

In certain applications such as acoustic wave scattering from internal waves, the Bessel functions J sub nu(x) and Y sub nu(x) for real order and large argument are required to be known accurately to at least 14 figures. Higher order terms in the power series developed by Goldstein and Thaler are presented herein. Applying these results allows J sub nu(x) and Y sub nu(x) to be determined accurately to at least 14 figures. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1979
Accession Number
ADA077899

Entities

People

  • P. A. Barakos

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Acoustic Waves
  • Amplitude
  • Bessel Functions
  • Complex Variables
  • Computations
  • Functions (Mathematics)
  • Internal Waves
  • Mathematical Analysis
  • Mathematics
  • Military Research
  • Power Series
  • Scattering
  • Security
  • Shallow Water
  • Universities
  • Waves

Readers

  • Nanoscale Plasmonic Nanotechnology
  • Spectroscopy.
  • Statistical inference.