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Clarification of Cauchy-Riemann equations

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#complex-analysis #cauchy-riemann-equations
303
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Solving recurrence relations using generating functions with complex analysis

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#complex-analysis #recurrence-relations #residue-calculus #cauchy-integral-formula
356
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What do Taylor series accomplish?

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#calculus #sequences-and-series #complex-analysis #taylor-expansion #definition
534
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Is there Cauchy-type estimate for real analytic functions?

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#real-analysis #complex-analysis #analyticity #analytic-functions
96
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Integration of a complex valued function in $[a,b]$

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#integration #complex-analysis #holomorphic-functions
123
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Joukowski mapping question

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#complex-analysis
143
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Help in understanding 4.15 Integral Theorem Bak Newman Complex Analysis Book

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#complex-analysis #proof-explanation
57
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Reparametrization of the spherical harmonics so they will be complete in a different region.

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#real-analysis #complex-analysis #fourier-analysis #hilbert-spaces #spherical-harmonics
68
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Asymptotic behavior of a complex function

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#complex-analysis #complex-integration
118
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Fourier transform of $(x-c)^{-p/q}$, $p$ and $q$ co-prime.

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#calculus #complex-analysis #fourier-transform
91
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Does it make sense to talk about "frequency" when expanding a function using spherical harmonics?

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#real-analysis #complex-analysis #fourier-analysis #spherical-harmonics
298
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Jump of dilogarithm

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#integration #complex-analysis #polylogarithm
185
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example of a sequence of uniformly continuous functions on a compact domain converging, not uniformly, to a uniformly continuous function

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#complex-analysis #analysis #continuity #uniform-convergence #pointwise-convergence
1.4k
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Show holomorphic branch of $\log z$ on $\Omega=\mathbb{C}\backslash \{z\text{ real } : z\leq 0\}$ satisfying $\log(1)=0$.

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#complex-analysis
270
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Showing that a family of functions is not normal.

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#complex-analysis

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