query: Contour integration of $e^{i\lambda z}\frac{\sinh(az)}{\sinh(\pi z)}$
positive_passages.docid: 144989
positive_passages.text: How i can find the fourier transform of $\frac{\sinh(ax)}{\sinh(\pi x)}$ where,$ |a| < \pi$
negative_passages.docid: 89602
negative_passages.text: $ \int_{0}^{ \infty} \int_{0}^{ \infty} \frac { e^{-(x+y)}}{x+y} dx dy $
negative_passages.docid: 61466
negative_passages.text: what is $\int_{|z|=3}\frac{1}{(z-2)^n(z-4)^m}dz$ for $m,n\in\mathbb{N}$?
negative_passages.docid: 62109
negative_passages.text: $\int_{-\infty}^{\infty} \frac{\cos(αx)}{(x^2+1)(x^2+4)} \mathrm dx$ using Complex methods
negative_passages.docid: 31777
negative_passages.text: Complex line integral
negative_passages.docid: 103487
negative_passages.text: Integration of the cardinal sine
negative_passages.docid: 86857
negative_passages.text: Integrate $\int_{0}^{2\pi}\log|1-e^{i\theta}| d\theta$
negative_passages.docid: 22099
negative_passages.text: Integrate $e^{ax}\sin(bx)?$
negative_passages.docid: 84991
negative_passages.text: What contour should be used to evaluate $\int_0^\infty \frac{\sqrt{t}}{1+t^2} dt$
negative_passages.docid: 67776
negative_passages.text: How does the integral $\int_{D_C} e^{ia z}P(z)/Q(z)\,\mathrm{d}z$ blow up.
negative_passages.docid: 105765
negative_passages.text: Integrating $\frac{x^k }{1+\cosh(x)}$
negative_passages.docid: 126236
negative_passages.text: General closed form of $\int_{0}^{\theta_0} \frac{1}{\sqrt{\cos \theta-\cos \theta_0}} d\theta$
negative_passages.docid: 129892
negative_passages.text: show $\int_0^{\infty} \frac{x\sin ax}{x^2+t^2}dx = \frac{\pi}{2}e^{-at}$
negative_passages.docid: 85736
negative_passages.text: Evaluating the integral $\int_{-1}^{1} \frac{\sqrt{1-x^{2}}}{1+x^{2}} \, dx$ using a dumbbell-shaped contour
negative_passages.docid: 63193
negative_passages.text: Proof that $\vert\int_a^bf(t)dt\vert\le\int_a^b\vert f(t)\vert dt $ for complex integration
negative_passages.docid: 57659
negative_passages.text: Evaluate $\int_{\left | z \right |=3} (e^{z}-1)dz/(z(z-1)(z-i))$
negative_passages.docid: 52864
negative_passages.text: Line integration in complex analysis