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Analytic function from the unit disk to itself with specific values

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#complex-analysis #analytic-functions
42
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Where is this function complex differentiable? And at which points (if any) Is it analytic?

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#complex-analysis #derivatives #analytic-functions
120
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Weierstrass elliptic function $\wp$ and $g_2 = 0$

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#analytic-functions #elliptic-functions
76
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$f'(z) = \wp(z)$, Weierstrass $\wp$ function

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#analytic-functions #elliptic-functions
474
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Does the zero set of a real-analytic function in several variables form a subvariety?

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#real-analysis #algebraic-geometry #polynomials #analytic-functions #zariski-topology
661
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The Hausdorff dimension of the zero set of a real analytic function

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#real-analysis #reference-request #geometric-measure-theory #analytic-functions #dimension-theory-analysis
945
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Problem regarding zeros and poles of a meromorphic function inside a circle (Argument Principle)

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#complex-analysis #analytic-functions #meromorphic-functions
949
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The identity theorem at the boundary (complex analysis)

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#real-analysis #complex-analysis #differential-topology #analytic-functions #smooth-functions
134
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Finding if there is an Analytic function in a domain

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#complex-analysis #analyticity #analytic-functions
310
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Can the radius of convergence of a sum of two power series be an arbitrary number?

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#complex-analysis #convergence-divergence #power-series #analytic-functions
72
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Local behavior of range of complex polynomial

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#complex-analysis #analytic-functions #entire-functions
712
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Analytic and circle of convergence

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#complex-analysis #convergence-divergence #power-series #analytic-functions
286
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Help on a problem from Ahlfors' Complex Analysis

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#complex-analysis #analytic-functions
61
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Finding roots for $(1+c) \cos(ax)+(1-c) \cos(bx)=0$

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#roots #problem-solving #analytic-functions
210
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Couple of questions on Hurwitz theorem

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

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