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Is there any difference between the elements in $\mathbb{C}[x]$ and $C^{\omega}$?

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#polynomials #hilbert-spaces #analytic-functions
254
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A query while showing that the Gamma function $\Gamma$ is logarithmically convex for $x \gt 0.$

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#complex-analysis #proof-verification #logarithms #gamma-function #analytic-functions
569
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Prove that there exists no non-zero analytic function such that $f(\frac{1}{n})$=0 for all n

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#complex-analysis #proof-verification #analytic-functions
85
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Contour Deformation in the Laplace Inversion Formula

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#laplace-transform #contour-integration #analytic-functions #analytic-continuation
178
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Question about proof that $Ln$ is analytic.

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#complex-analysis #logarithms #analytic-functions
327
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If $f(z)$ is analytic inside and on the circle $|z| = 2$, is $\oint_{|z|=2}f(z) = 0?$

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#complex-analysis #contour-integration #analytic-functions
1.4k
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Analytic function is identically zero on open unit disk if $|f(z)|\leq 1-|z|$.

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#complex-analysis #analytic-functions
45
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Existence of convergent sequence in domain

Published on
#sequences-and-series #complex-analysis #analytic-functions
226
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Fixed points of complex analytic functions

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#complex-analysis #analytic-functions #fixed-points
922
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Find the zeros of $f(z)=z^3-\sin^3z$

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#complex-analysis #power-series #analytic-functions
53
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Does this equation have any analytical solution?

Published on
#numerical-methods #mathematical-modeling #analytic-functions
46
Views

Can the following equation be solved analytically?

Published on
#analytic-functions
32
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An understanding problem of analytic function

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#distribution-theory #analytic-functions
1.3k
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Smooth and not analytic

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#complex-analysis #analysis #analyticity #analytic-functions #smooth-functions
306
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Analytic continuation of quotient of analytic functions

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#complex-analysis #analytic-functions #analytic-continuation #meromorphic-functions

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