Expression as a Legendre Function, of an Elliptic Integral Occuring in Wing Theory

Abstract

An integral that often arises in potential theory is shown to be related to half order Legendre functions of the second kind including a special form of the integral studied by Riegels. Series expansions of these Legendre functions for values of the argument in the neighborhood of unity and much greater than unity are also presented. For convenient reference, recursion formulas and expressions in terms of elliptic integrals are noted.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1959
Accession Number
AD0231252

Entities

People

  • B. U. Sonnerup

Tags

Communities of Interest

  • Air Platforms
  • C4I

DTIC Thesaurus Topics

  • Bessel Functions
  • Coefficients
  • Complex Numbers
  • Contracts
  • Differential Equations
  • Equations
  • Fourier Series
  • Government Procurement
  • Governments
  • Integrals
  • Legendre Functions
  • Military Research
  • Numbers
  • Potential Theory
  • Procurement
  • United States
  • United States Government

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis