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New posts in complex-integration
Area integral over complex plane of non-holomorphic gaussian $e^{-z\bar{z}}$
complex-analysis
contour-integration
residue-calculus
complex-integration
Prove that $\int\limits_{-\infty}^{\infty} \frac{e^{-x}}{1+e^{-2\pi x}}\,dx=\frac1{2\sin\left(\frac{1}{2}\right)}$
integration
complex-analysis
improper-integrals
residue-calculus
complex-integration
Complex integral $\int \frac{e^{iz}}{(z^2 + 1)^2}\,dz$ with Cauchy's Integral Formula.
complex-analysis
complex-integration
What is ML Inequality property of complex integral
complex-analysis
complex-integration
Prove holomorphism of expression
complex-analysis
complex-integration
contour integration of logarithm
complex-analysis
contour-integration
complex-integration
Numerical Integration for integrable singularity
integration
numerical-methods
complex-integration
simpsons-rule
$f$ analytic in $\overline{\mathbb{D}}$ s.t $\int_{|z|=1}|f(z)-z||dz|\leq\frac{1}{100}$. Prove that $f$ has at least one zero in $\mathbb{D}$.
complex-analysis
complex-integration
analytic-functions
maximum-principle
Proof that $\vert\int_a^bf(t)dt\vert\le\int_a^b\vert f(t)\vert dt $ for complex integration [duplicate]
complex-analysis
complex-numbers
complex-integration
$\int_C|f_n(z)||dz|\leq M$ for each $f_n$. Prove $\{f_n\}$ has a subsequence converging uniformly on compact subsets of $D$.
complex-analysis
uniform-convergence
complex-integration
analytic-functions
Closed form for $I=\int_{0}^{\infty}\frac{x^n}{x^2+u^2}\tanh(x) \, dx$
integration
definite-integrals
contour-integration
closed-form
complex-integration
Residue theorem with $\frac{1}{2\pi}\int_{0}^{2\pi}e^{\cos\theta}\cos(n\theta) d\theta$.
complex-analysis
contour-integration
residue-calculus
complex-integration
Cauchy-Riemann equation analogue but for the quaternions
complex-integration
quaternions
Is The Inverse Laplace Transform of $e^{st}\operatorname{Log}\left(\frac{s+1}{s}\right)$ doable using inversion formula?
complex-analysis
inequality
laplace-transform
complex-integration
inverse-laplace
Show that entire function $f$ is a polynomial of degree at most $n$
complex-analysis
power-series
complex-integration
Discussing the Integral of $\exp(-x^n)$
definite-integrals
improper-integrals
complex-integration
Integral $\int_0^{\pi} \frac{\cos(2018x)}{5-4\cos{x}}dx$
integration
proof-verification
complex-integration
Complex integration: $ \int_{c} \frac{e^{z}}{z(z-3)} dz$
complex-analysis
contour-integration
complex-integration
cauchy-integral-formula
What is the meaning of $dz$ in Complex Integrals?
integration
complex-analysis
complex-numbers
complex-integration
Evaluate Complex Integral with $\frac{\Gamma(\frac{s}{2})} {\Gamma\big({\beta +1\over 2} - {s\over 2}\big)}$
integration
contour-integration
complex-integration
line-integrals
cauchy-principal-value
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