Titlebook: Analytic Functions; Rolf Nevanlinna,B. Eckmann,B. L. Waerden Book 19701st edition Springer-Verlag Berlin Heidelberg 1970 Analytische Funkt

intrigue

Discourse, Culture and Organizationto become acquainted with a few general properties of surfaces generated by an . single-valued meromorphic function as the image of the disk |.| < . ≦ ∞. On such simply connected surfaces the inverse function . of . is well-defined and univalent, and our problem is thus to examine analytic functions

DAUNT

Solution of the Dirichlet Problem for a Schlicht Region,bility to solve the ., i.e., our ability to construct a harmonic function with preassigncd boundary values in a region .. In this section we shall apply the results of the first chapter to establish the following special case of this general theorem.

linear

macular-edema

Point Sets of Harmonic Measure Zero,ns made at that time, results if we continue to assume that the given reference region is bounded by a finite set of Jordan arcs ., but take the point set . to be an arbitrary set of points on . instead of a set of boundary arcs. If the universal covering surface .∞ of . is once more mapped conforma

六邊形

Seizure

Meromorphic Functions of Finite Order,haracteristic .(.). Considered as a class, meromorphic functions whose characteristic is of a definite order of magnitude have a more complicated structure the higher the order of growth. Thus, for instance, we have found that among other functions meromorphic for |. < 1, meromorphic functions which

Institution

The Second Main Theorem in the Theory of Meromorphic Functions, the invariance of the sum .(., .) + .(., .), we set up as our main goal the more careful investigation of the relative strength of the two terms in the sum, of the proximity component .(., .) and of the counting component .(., .). Individual results in this direction have already been achieved:

endocardium

CORE

越自我

The Type of a Riemann Surface,umber . of image points .., .... ... These surfaces can be represented concretely by the line complexes defined in the place just mentioned. To each half sheet of .. there corresponds a node point in the line complex. By means of the line segments connecting the node points, the plane is decomposed