POLYNOMIAL EXPANSIONS OF BESSEL FUNCTIONS AND SOME ASSOCIATED FUNCTIONS

Abstract

IN THIS REPORT WE FIRST DETERMINE REPRESENTATIONS FOR THE Anger-Weber functions (ax) and (ax) in series of symmetric Jacobi polynomials. (These include Legendre and Chebyshev polynomials as special cases.) If is an integer, these become expansions for the Bessel function of the first kind, since n(ax) = Jn(ax). Next, corresponding representations are found for (ax) - J (ax). Convenient error bounds are obtained for the Chebyshev cases of the above expansions. In the final section of the report we determine the similar type expansions for the Bessel functions Yn(ax) and Kn(ax).

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1961
Accession Number
AD0273956

Entities

People

  • J. Jet Wimp

Organizations

  • MRIGlobal

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Bessel Functions
  • Coefficients
  • Computers
  • Contracts
  • Digital Computers
  • Engineering
  • Integrals
  • Polynomials
  • Power Series
  • Procurement
  • Systems Engineering
  • Transcendental Functions
  • United States
  • Virginia

Fields of Study

  • Mathematics

Readers

  • Facility/Structural Engineering.
  • Linear Algebra