Uniqueness of the factorization under composition of certain entire functions
24 Jul 1978-Journal of Mathematics of Kyoto University (Kyoto University)-Vol. 18, Iss: 1, pp 95-120
About: This article is published in Journal of Mathematics of Kyoto University.The article was published on 1978-07-24 and is currently open access. It has received 13 citations till now. The article focuses on the topics: Uniqueness & Entire function.
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01 Jan 1988
TL;DR: In this article, a compactification of a moduli space of stable vector bundles on a rational surface is discussed, and a convention of stable sheaves and an order among polynomials in Q is presented.
Abstract: Publisher Summary This chapter highlights a compactification of a moduli space of stable vector bundles on a rational surface. It discusses semi-stable sheaves, semi-stable sheaves on a rational surface, and semi-stability of the universal extension. The chapter presents a convention of stable sheaves and an order among polynomials in Q[ x ]. It also describes a way to construct a stable reflexive sheaf by using successive extensions of μ -stable reflexive sheaves. The chapter discusses the extent to which the universal extension U ( E ) of E inherits the stability or the semi-stability of E .
11 citations
10 citations
TL;DR: In this paper, it was shown that the function h(z ) = P (z ) e α( z ) + Q ( z ) with nonlinear meromorphic left and right factors has a factorization h( z) = ƒ( g ( z )) with non-linear meromorphism left andright factors if and only if P, Q, and α have such a factorisation with a common right factor.
8 citations
01 Jan 1978
2 citations
TL;DR: In this article, it was shown that the function G(e z) + az is prime with at most two exceptional values where G(w) is an entire function satisfying for R≥R 0 > 0 and for some constant K>0.
Abstract: Y. Noda proved that for any given entire function F the set of a for which F (z) + az is not prime is at most countable. In this paper we prove that the function G(e z) + az is prime with at most two exceptional values a where G(w) is an entire function satisfying for R≥R 0 > 0 and for some constant K>0
2 citations