Add to ORKGThis study lists the basic definitions and concepts relating to analytic functions, indicates the fundamental theorems which are assumed without proof, and then develops and proves the necessary preliminary results needed for the following Theorems: 1. MAXIMUM MODULUS THEOREM 2. OPEN MAPPING THEOREM 3. INVERSE FUNCTION THEOREM These three theorems form an important basis for the theoretical study of Julia sets and the Mandelbort set
We present a version of the identity principle for analytic sets, which shows that the extension the...
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sen...
The thesis follows on Petr Vopìnka's alternative theory of sets and semisets by extending notions of...
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More...
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In this master's thesis, we ...
For an open set V subset of C-n, denote by M-alpha(V) the family of a-analytic functions that obey a...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
This thesis deals with the Open Mapping Theorem for analytic functions on domains in the complex pla...
In this paper we give a series of open problems in the theory of pseudoconcave sets
We shall assume throughout the paper that Gis an open set in the plane such that 0G, the boundary of...
AbstractWe provide an extension of the Nevanlinna–Pólya theorem for two analytic functions of a comp...
Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a m...
Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a m...
Let R(w)(z) : W x C-infinity --> C-infinity be an analytic family of rational functions, J(w) the...
Submitted in partial fulfillment of the requirements for the degree of Master of ArtsText from intro...
We present a version of the identity principle for analytic sets, which shows that the extension the...
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sen...
The thesis follows on Petr Vopìnka's alternative theory of sets and semisets by extending notions of...
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More...
[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] In this master's thesis, we ...
For an open set V subset of C-n, denote by M-alpha(V) the family of a-analytic functions that obey a...
AbstractThis paper contains general open mapping theorems for families of multifunctions in quasimet...
This thesis deals with the Open Mapping Theorem for analytic functions on domains in the complex pla...
In this paper we give a series of open problems in the theory of pseudoconcave sets
We shall assume throughout the paper that Gis an open set in the plane such that 0G, the boundary of...
AbstractWe provide an extension of the Nevanlinna–Pólya theorem for two analytic functions of a comp...
Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a m...
Power series are fundamental in the study of Geometric Function Theory. In fact, they constitute a m...
Let R(w)(z) : W x C-infinity --> C-infinity be an analytic family of rational functions, J(w) the...
Submitted in partial fulfillment of the requirements for the degree of Master of ArtsText from intro...
We present a version of the identity principle for analytic sets, which shows that the extension the...
This research monograph concerns the Nevanlinna factorization of analytic functions smooth, in a sen...
The thesis follows on Petr Vopìnka's alternative theory of sets and semisets by extending notions of...