Accession Number : AD0660114

Title :   STUDIES IN RADAR CROSS-SECTIONS-II. THE ZEROS OF THE ASSOCIATED LEGENDRE FUNCTIONS PMN (MU PRIME) OF NON-INTEGRAL DEGREE.

Descriptive Note : Revised ed.,

Corporate Author : MICHIGAN UNIV ANN ARBOR INST OF SCIENCE AND TECHNOLOGY

Personal Author(s) : Siegel,K. M. ; Brown,D. M. ; Hunter,H. E. ; Alperin,H. A. ; Quillen,C. W.

Report Date : NOV 1953

Pagination or Media Count : 27

Abstract : This paper derives (by a new method) an equation due to Macdonald for determining the zeros of the associated Legendre functions of order m and non-integral degree n when the argument is close to -1. A closed form solution is obtained for the values of Q subscript n superscript m (mu) and Q subscript n superscript -m (mu) for mu close to 1. Certain observations are made concerning errors in a recently published article.

Descriptors :   (*RADAR CROSS SECTIONS, BOUNDARY VALUE PROBLEMS), (*SPECIAL FUNCTIONS(MATHEMATICAL), NUMERICAL METHODS AND PROCEDURES), HYPERGEOMETRIC FUNCTIONS, TRANSCENDENTAL FUNCTIONS, CONICAL BODIES, SERIES(MATHEMATICS), TABLES(DATA)

Subject Categories : Numerical Mathematics
      Active & Passive Radar Detection & Equipment

Distribution Statement : APPROVED FOR PUBLIC RELEASE