Meromorphic function
Meromorphic function In complex analysis, a meromorphic function on an open subset D of the complex plane is a function that is holomorphic on all D ...
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Talk:Meromorphic function
Talk:Meromorphic function must the set of poles be finite? -- Tarquin Nope. 1/sin(z) is meromorphic. AxelBoldt how big can the set of ... it is impossible to prove that a meromorphic function is a ratio of two holomorphic ...
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Holomorphic function   (translated from Chinese)
Holomorphic function Holomorphic function (Holomorphic functions)YesComplex analysisResearch central object; They ... planesC Opens the subset On, inCCenter value Function Duplicate differentiables in each. This is a ... may use it Taylor series Description.Analytic function(analytic function)A word may exchange the use ...
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Holomorphic function
Holomorphic function Holomorphic functions are the central object of ... than real differentiability and implies that the function is infinitely often differentiable and can be ... by its Taylor series. The term analytic function is often used interchangeably with "holomorphic function", although note that the former term has several other meanings. A function that is holomorphic on the whole ...
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Gamma function
Gamma function The Gamma function along part of the real axis In mathematics, the Gamma function extends the factorial function to complex and non natural numbers (where it is defined). The factorial function of an integer n is written ...
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Elliptic function
Elliptic function In complex analysis, an elliptic function is, roughly speaking, a function defined on the complex plane which is ... whence the name derives. Formally, an elliptic function is a meromorphic function f defined on C for ...
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Modular function
Modular function In mathematics, modular functions are certain kinds ... of other uses of the term "modular function" as well; see below for details. Formally, a function f is called modular or a modular function iff it satisfies the following properties: f is meromorphic in the upper half-plane H. ...
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Rational function
Rational function In mathematics, a rational function in algebra is a function defined as a ratio of polynomials. For ... a single variable x a typical rational function is therefore f(x) = P(x)/Q ... finite fields. The domain of a rational function A rational function f(x) = P( ...
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L-function
L-function The theory of L-functions has become ... it, broad generalisations of the Riemann zeta function and the L-series for a Dirichlet ... the Dirichlet series for the Riemann zeta-function), and the function in the complex plane that is its ... some poles). It is this (possibly conjectural) meromorphic continuation to the complex plane which ...
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Rational type function   (translated from Japanese)
Rational type function mathematics ,Rational type function(ゆ う り け circumstance it inhales, meromorphic function) or, function Rational type(The ゆ う り ...
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