Search results

...(mathematics)|image]] of the function.<ref>{{citation|title=Dictionary of Analysis, Calculus, and Differential Equations|volume=1|series=Comprehensive diction ...lane '''C''' and a function ''f''&nbsp;:&nbsp;''X''&nbsp;→&nbsp;'''C''', a complex number ''z'' is called a ''lacunary value'' of ''f'' if ''z''&nbsp;∉&nbsp;i ...

[[:Category:Mathematical analysis|Analysis]] | [[:Category:Complex analysis|Complex&nbsp;analysis]] | ...

In [[mathematics]], '''Hardy's theorem''' is a result in [[complex analysis]] describing the behavior of [[holomorphic function]]s. ...n on the [[open ball]] centered at zero and radius <math>R</math> in the [[complex plane]], and assume that <math>f</math> is not a [[constant function]]. If ...

* [[Hurwitz's theorem (complex analysis)]] * [[Riemann–Hurwitz formula]] in algebraic geometry ...

Several theorems are named after [[Augustin-Louis Cauchy]]. '''Cauchy theorem''' may mean: *[[Cauchy's integral theorem]] in complex analysis, also [[Cauchy's integral formula]] ...

In [[mathematics]], '''Bôcher's theorem''' is either of two theorems named after the American mathematician [[Maxime Bôcher]]. ==Bôcher's theorem in complex analysis== ...

...stated in terms of integral equations, in terms of [[linear algebra]], or in terms of the [[Fredholm operator]] on [[Banach space]]s. The [[Fredholm alternative]] is one of the Fredholm theorems. ...

{{short description|Two theorems about families of holomorphic functions}} In [[complex analysis]], an area of [[mathematics]], '''Montel's theorem''' refers to one of two ...

...atics, including [[number theory]] and [[applied mathematics]]; as well as in [[physics]], including [[hydrodynamics]], [[thermodynamics]], and [[electri See also: [[glossary of real and complex analysis]]. ...

...ian SSR|Armenian]] [[mathematician]] [[Sergey Mergelyan|Sergei Mergelyan]] in 1951. :Let <math>K</math> be a [[compact set|compact subset]] of the [[complex plane]] <math>\mathbb C</math> such that <math>\mathbb C \setminus K</math> ...

{{short description|Mathematics principle in complex analysis}} {{about|the reflection principle in complex analysis|reflection principles of set theory|Reflection principle}} ...

In [[mathematics]], a '''classification theorem''' answers the [[classificatio ...p in solving it. (A combination of invariant values is realizable if there in fact exists an object whose invariants take on the specified set of values) ...

== Mathematics in electronics engineering == ...<ref>{{Citation |title=Preface |date=1986-01-31 |work=Mathematical Methods in Electrical Engineering |pages=vii–viii |url=http://dx.doi.org/10.1017/cbo97 ...

{{for|other theorems by the Riesz brothers|Riesz theorem (disambiguation){{!}}Riesz theorem}} In [[mathematics]], the '''F. and M. Riesz theorem''' is a result of the broth ...

In [[mathematics]], the '''branching theorem''' is a [[theorem]] about [[Riema ...n X</math> and set <math>b := f(a) \in Y</math>. Then there exist <math>k \in \N</math> and [[Chart_(topology)|chart]]s <math>\psi_{1} : U_{1} \to V_{1}< ...

...{\textbf{C}}</math> is a function which is [[analytic function|analytic]] in each variable ''z''_''i'', 1 &le; ''i'' &le; ''n'', while the oth ...ticity' and 'analyticity' are coincident notions, in the theory of several complex variables. ...

{{short description|One of several theorems in different areas of mathematics}} ...theorem''' is a theorem of [[:de:Axel Schur|Axel Schur]]. In [[functional analysis]], '''Schur's theorem''' is often called [[Schur's property]], also due to ...

In [[mathematics]], the '''Schwarz–Ahlfors–Pick''' theorem is an extension of ...isk ''U'' with the Poincaré metric has negative [[Gaussian curvature]] −1. In 1938, [[Lars Ahlfors]] generalised the lemma to maps from the unit disk to ...

{{Short description|Concept in integral mathematics}} ...ontinuous function]] on the contour {{math|Γ}} and if its [[absolute value#Complex numbers|absolute value]] {{math|{{abs|''f''&thinsp;(''z'')}}}} is bounded b ...

...a weighted sum of sinusoids having a common period, the result of Fourier analysis of a periodic function *[[Fourier analysis]], the description of functions as sums of sinusoids ...