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Nemo
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40
What are fixed points of the Fourier Transform
Nov 21, 2015
answer
36
Sum of Gaussian pdfs
Oct 26, 2017
answer
31
An analogue of the exponential function by replacing infinite series with improper integral
Jan 29, 2020
answer
25
Bernoulli sum meets golden number
Jun 15, 2017
answer
24
Is there a transformation or a proof for these integrals?
Mar 1, 2017
question
23
Number theoretic interpretation of the integral $\int_{-\infty}^\infty\frac{dx}{\left(e^x+e^{-x}+e^{ix\sqrt{3}}\right)^2}=\frac{1}{3}$?
Mar 2, 2017
answer
21
The specificity of dimension $1+3$ for the real world
Nov 17, 2017
answer
18
A mystery sequence
Feb 21, 2017
answer
17
Real rootedness of a polynomial
Jan 30, 2020
answer
17
Interesting integral
May 9, 2019
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32
Proof $\int_{-\infty}^\infty\frac{dx}{\left(e^x+e^{-x}+e^{ix\sqrt{3}}\right)^2}=\frac{1}{3}$
27
Strange symmetry regarding sum $\sum_{n=0}^\infty\frac{n^ne^{-bn}}{\Gamma(n+1)}$ and integral $\int_{0}^\infty\frac{x^xe^{-bx}}{\Gamma(x+1)}dx$
26
Question about finite analog of $\int_0^\infty \frac{\sin x\sinh x}{\cos (2 x)+\cosh \left(2x \right)}\frac{dx}{x}=\frac{\pi}{8}$
23
Alternative and more direct proof that an integral is independent of a parameter
22
Calculate $\int_{0}^\infty\frac{dx}{\left(1+\frac{x^3}{1^3}\right)\left(1+\frac{x^3}{2^3}\right)\left(1+\frac{x^3}{3^3}\right)\ldots}$