
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 WhittakerBergman 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