Meromorphic function - Wikipedia
网页Meromorphic function. In the mathematical field of complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all of D except for a set of isolated points, which are poles of the function. [1] The term comes from the Greek meros (μέρος), meaning "part". [a]
亚纯函数 - 百度百科
网页亚纯函数 （meromorphic function）是在区域D上有定义，且除去 极点 之外处处解析的函数。 在复分析中，一个复平面的开子集D上的亚纯函数是一个在D上除一个或若干个孤立点集合之外的区域全纯的函数，那些孤立点称为该函数的极点。
Meromorphic Function -- from Wolfram MathWorld
网页2024年8月22日 · Meromorphic Function. A meromorphic function is a single-valued function that is analytic in all but possibly a discrete subset of its domain, and at those singularities it must go to infinity like a polynomial (i.e., these exceptional points must be poles and not essential singularities).
Meromorphic function - Encyclopedia of Mathematics
网页2014年11月29日 · Meromorphic functions of several complex variables. Let be a domain in (or an -dimensional complex manifold) and let be a (complex-) analytic subset of codimension one (or empty). A holomorphic function defined on is called a meromorphic function in if for every point one can find an arbitrarily small neighbourhood of …
Meromorphic Functions - Vocab, Definition, and Must Know Facts …
网页Definition. Meromorphic functions are complex functions that are holomorphic (complex differentiable) throughout their domain except for a set of isolated poles, which are points where the function goes to infinity. These functions play a key role in complex analysis as they generalize rational functions, allowing the inclusion of poles while ...
Meromorphic functions - Vocab, Definition, and Must Know Facts …
网页Meromorphic functions are complex functions that are holomorphic (analytic) on an open set except for a set of isolated poles, where they exhibit a specific type of singularity. They can be viewed as the combination of holomorphic functions and poles, which are points where the function approaches infinity.
网页The second chapter gives a summary of elementary value distribution theory - without going into the second main theorem. The third chapter then discusses vector valued analytic and meromorphic functions. The main new "tool", the total logarithmic size of a matrix is introduced in chapter four.
Section 31.23 (01X1): Meromorphic functions and sections—The …
网页A meromorphic function on $X$ is a global section of $\mathcal{K}_ X$. Since each element of each $\mathcal{S}(U)$ is a nonzerodivisor on $\mathcal{O}_ X(U)$ we see that the natural map of sheaves of rings $\mathcal{O}_ X \to \mathcal{K}_ X$ is injective.
Meromorphic Functions - SpringerLink
网页2019年9月8日 · In this book a “meromorphic function” means a function meromorphic in the complex plane. Most problems are about transcendental meromorphic functions (having an essential singularity at infinity). The theory of meromorphic functions was mostly created by Nevanlinna in the 1920s, and he wrote two influential books on it …
9.2: Holomorphic and Meromorphic Functions - Mathematics …
网页Definitions: Holomorphic and Meromorphic . A function that is analytic on a region \(A\) is called holomorphic on \(A\). A function that is analytic on \(A\) except for a set of poles of finite order is called meromorphic on \(A\).
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