On the meromorphic solutions of [summation from] j=1 [to] p aj̳(z) fj̳k̳j̳(z)=1

HKUST Electronic Theses

On the meromorphic solutions of [summation from] j=1 [to] p aj̳(z) fj̳k̳j̳(z)=1

by Yu Kit Wing

THESIS 2000

M.Phil. Mathematics

vii, 56 leaves ; 30 cm

Abstract
The Waring's problem for meromorphic functions of one complex variable is to find some optimal relationship between the integers k and n - the number of non-constant meromorhpic functions that is used to express an arbitrary given meromorphic function. In this paper, we use Cartan's theorem and the Nevanlinna's inequality to study the entire and meromorphic solutions of the functional equation ∑_j=1^p a_j(z)f_j^kj(z) = 1.

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Details

Collection HKUST Electronic Theses Degree M.Phil. Department Mathematics Authors Yu, Kit Wing Subjects Functions, Meromorphic Nevanlinna theory Waring's problem Language English Call number Thesis MATH 2000 Yu DOI 10.14711/thesis-b691962

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On the meromorphic solutions of [summation from] j=1 [to] p aj̳(z) fj̳k̳j̳(z)=1

by Yu Kit Wing

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