Accession Number : AD0263809

Title :   ON THE GEOMETRIC CHARACTER OF SINGULARITY MANIFOLDS FOR HARMONIC FUNCTIONS IN THREE VARIABLES. I

Corporate Author : MARYLAND UNIV COLLEGE PARK INST FOR FLUID DYNAMICS AND APPLIED MATHEMATICS

Personal Author(s) : GILBERT,R.P.

Report Date : SEP 1961

Pagination or Media Count : 1

Abstract : The singularities of harmonic functions in three variables is investigated. This is done by considering harmonic functions generated by the Whittaker-Bergman operator, and the connections between the singularities of these functions and those of the associated functions of two complex variables. Several theorems are obtained concerning the nature of these singularities by using the methods of projective differential geometry. (Author)

Descriptors :   *ALGEBRAIC TOPOLOGY, *FUNCTIONS(MATHEMATICS), COMPLEX VARIABLES, DIFFERENCE EQUATIONS, DIFFERENTIAL GEOMETRY, MATRICES(MATHEMATICS), OPERATORS (MATHEMATICS), POLYNOMIALS, THEORY

Distribution Statement : APPROVED FOR PUBLIC RELEASE