Meromorphic functions of lower order less than one [MatSciRep:64]

DSpace/Manakin Repository

Meromorphic functions of lower order less than one [MatSciRep:64]

Show full item record

Title: Meromorphic functions of lower order less than one [MatSciRep:64]
Author: Fuchs, W.H.J.
Main Subjects: Mathematics
Institution: Institute of Mathematical Sciences
Year: 1967
Pages: 83p.
Abstract: The two properties of the polynomials, viz., 1) A polynomial takes on every complex value the same number of times; 2) On large circles |z| = r, the absolute value of a polynomial p(z) is large and "Limit r tends to Infinity{|p(r*e^(ialpha))| / |p(r*e^(ibeta))|} = 1" , uniformly in Alpha and Beta. The example of the exponential function shows that neither of these two properties subsists for entire functions. These lectures discuss the problem of finding analogues for the properties 1 and 2 for the entire and meromorphic functions of lower grade. Some auxiliary results are given in sections 1 and 2; Analogues of property 2 are discussed in sections 3 to 5 of these lectures, while analogues of property 1 are discussed in sections 6 to 8. A knowledge of the fundamentals of Nevanlinna Theory is assumed such as it can be found in W.K. Hayman's Meromorphic functions, chapters 1 and 2.
URI: http://hdl.handle.net/123456789/231

Files in this item

Files Size Format View
MR64.pdf 3.727Mb PDF View/Open

This item appears in the following Collection(s)

Show full item record

Search DSpace


Advanced Search

Browse

My Account