Question

Evaluating $\int_{T}^{\infty} \exp\left[\beta - \phi t \right]t^{-\frac{3}{2}} \log ^{\kappa}(t) \mbox{d}t$

score 243 · Answer 1 · 2026-04-16 22:46:52

243

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Evaluating $\int_{T}^{\infty} \exp\left[\beta - \phi t \right]t^{-\frac{3}{2}} \log ^{\kappa}(t) \mbox{d}t$

Published on 16 Apr 2026 - 22:46

score 137 · Answer 2 · 2026-04-09 15:45:06

137

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Series $\sum_{n=1}^{\infty} \left[K_0\left(\sqrt{[n\beta-it]^2+s^2 }\right)+K_0\left(\sqrt{[n\beta+it]^2+s^2}\right)\right]$

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score 598 · Answer 3 · 2026-04-15 16:15:15

598

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371

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81

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26.6k

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List Question

Evaluating $\int_{T}^{\infty} \exp\left[\beta - \phi t \right]t^{-\frac{3}{2}} \log ^{\kappa}(t) \mbox{d}t$

Series $\sum_{n=1}^{\infty} \left[K_0\left(\sqrt{[n\beta-it]^2+s^2 }\right)+K_0\left(\sqrt{[n\beta+it]^2+s^2}\right)\right]$

A function that does use all the elements of the range is said to be onto the range

Do there exist computable hyper-transcendental numbers?

A few questions about the Sturm-Liouville equation.

An anti-derivative of a product of three poly-logarithms and a simple fraction.

An interesting identity involving Jacobi $\theta_4$ and $\zeta(2)$

How to come up with a function to match these conditions

Is there a differentiable function that can approximate 5 impulse responses?

What is this function's behavior?

How to accurately calculate the error function $\operatorname{erf}(x)$ with a computer?

Why is Euler's Gamma function the "best" extension of the factorial function to the reals?

Function behavior with very large variables

Question Relating Gamma Function to Riemann Zeta function evaluated at integers

Minimum of the Gamma Function $\Gamma (x)$ for $x>0$. How to find $x_{\min}$?

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