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Why should I take this Contour for $I = \int_0^{\infty} \frac{dx}{1+x^3} $? (Analytic Continuation)

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#integration #complex-analysis #contour-integration #complex-integration #analytic-continuation
135
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How to show the existence of an entire function

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#complex-analysis #contour-integration #taylor-expansion #analytic-continuation
955
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Analytical continuation of moment generating function

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#probability #complex-analysis #characteristic-functions #moment-generating-functions #analytic-continuation
75
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A shortcut for analytic continuation?

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#analytic-number-theory #zeta-functions #analytic-continuation #summation-method
360
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Uses of analytic continuation?

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#complex-analysis #analytic-continuation
286
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Is the maximal torus a conjugacy class?

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#lie-groups #analytic-continuation #maximal-subgroup
44
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Can an analytic function defined on a maximal torus be extended analytically to all the Lie group?

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#lie-groups #analyticity #analytic-continuation
306
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Every uniformly convergent sequence of polynomials converges on a simply connected domain

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#general-topology #complex-analysis #polynomials #analytic-continuation
1.4k
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Analytic continuation of $z-z^2+z^3-...$

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#complex-analysis #power-series #analytic-continuation
135
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Having a holomorphic function $h$ that's the inverse of a function $f$, it's also the inverse for a continuation of $f$

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#complex-analysis #analysis #inverse #analytic-continuation
116
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How to analytically continue this function?

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#ordinary-differential-equations #proof-verification #analytic-continuation
165
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What $+1+1+\cdots$ really equals

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#summation #divergent-series #analytic-continuation
66
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Is it possible for distinct geodesics to be equivalent over a finite segment?

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#manifolds #geodesic #general-relativity #analytic-continuation
345
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Does the Abel sum 1 - 1 + 1 - 1 + ... = 1/2 imply $\eta(0)=1/2$?

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#power-series #divergent-series #dirichlet-series #analytic-continuation
833
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Finding the analytic continuation of $f(z)$

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#sequences-and-series #complex-analysis #analytic-continuation

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