Accession Number : AD0430768


Title :   ON MEROMORPHIC TYPICALLY-REAL FUNCTIONS,


Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER


Personal Author(s) : Merkes,E P


Report Date : Oct 1963


Pagination or Media Count : 17


Abstract : Let TM denote the class of funtions f(z) which are typically-real and meromorphic in the complex plane with slits on the real axis, analytic at z = 0, and normalized by f(0) = 0, f sub 1 (0) = 1. Characterizations of this class and a related class of functions are obtained as Stieltjes transforms and as bounded real J-fractions. From these representations, the exact regions of variability of functions in TM and of their first derivatives are derived. Finally, sharp regions of univalence of certain subclasses of TM are given. (Author)


Descriptors :   NETWORKS , ALGEBRA , MOMENTS , NUMBERS , CONFORMAL MAPPING , SEQUENCES(MATHEMATICS) , FUNCTIONS(MATHEMATICS)


Distribution Statement : APPROVED FOR PUBLIC RELEASE