
Accession Number : AD0727569
Title : Common Right Factors of a Meromorphic Function and its Derivatives.
Descriptive Note : Interim rept.,
Corporate Author : NAVAL RESEARCH LAB WASHINGTON D C MATHEMATICS RESEARCH CENTER
Personal Author(s) : Gross,Fred ; Yang,ChungChun
Report Date : 23 SEP 1970
Pagination or Media Count : 11
Abstract : The authors investigate common right factors of entire functions and their derivatives. In particular, it is shown that, assuming F to be a meromorphic function, then if F, F double prime, and F sup (iv) have the same right factor g, then g is one of the four forms (a(z squared) + bz + C) sup delta, (A(e to the power cz)+B) sup delta, (A cos (cz+d) + B) sup delta, or an elliptic function of second order, where a,b,c,d,A,B, and C are constants and delta = plus or minus 1. (Author)
Descriptors : (*MEROMORPHIC FUNCTIONS, THEOREMS), DIFFERENTIAL EQUATIONS, COMPLEX VARIABLES, POLYNOMIALS
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE