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15
Math.TechQA.Club
2026-04-03 11:21:36
213
Views
Find a Stirling-formula like for $(x!)!$
Published on
03 Apr 2026 - 11:21
#inequality
#examples-counterexamples
#gamma-function
#conjectures
69
Views
Can someone show me how u can derive the infinite product representation of digamma(z) /gamma(z)
Published on
12 Apr 2026 - 19:28
#gamma-function
333
Views
Show that $\int_{0}^{\infty}\frac{1}{\left(x!\right)!}dx>2$
Published on
02 Aug 2022 - 12:22
#improper-integrals
#gamma-function
372
Views
Show $\sum\limits_{k=0}^\infty (-1)^k \frac{\Gamma\left(k+\frac14\right)}{\Gamma\left(k+\frac74\right)} = -\Gamma\left(-\frac12\right) = 2\sqrt\pi$
Published on
03 Aug 2022 - 20:10
#sequences-and-series
#definite-integrals
#gamma-function
#hypergeometric-function
98
Views
Ratio of $\Gamma(n)$ to $\Gamma(n/2)^2, n\to \infty?$
Published on
13 Apr 2026 - 13:34
#real-analysis
#analysis
#asymptotics
#improper-integrals
#gamma-function
45
Views
Can somebody show me how u can derive the stirling series (with coefficients) and the laplace series of the gamma function
Published on
12 Apr 2026 - 20:12
#gamma-function
99
Views
What periodic function does $\frac{\Gamma(x+1)}{2^x \Gamma(\frac{x}{2}+1)^2}$ tend to?
Published on
05 Apr 2026 - 14:56
#complex-analysis
#gamma-function
#periodic-functions
258
Views
How to derive this infinite product for gamma function
Published on
11 Apr 2026 - 12:25
#gamma-function
105
Views
Prove $\int_{\pi}^{\infty} \frac{dx}{x^2 (\sin(x))^{2/3}} < \infty$
Published on
09 Aug 2022 - 1:57
#sequences-and-series
#improper-integrals
#gamma-function
296
Views
Saddle point approximation
Published on
12 Aug 2022 - 20:21
#definite-integrals
#asymptotics
#approximation
#gamma-function
190
Views
On the explicit series expansion for the inverse exponential/logarithmic integral li$(x)$ and Ei$(x)$
Published on
05 Apr 2026 - 19:25
#limits
#taylor-expansion
#special-functions
#gamma-function
#inverse-function
164
Views
Show a conjecture about $\arcsin\left(\frac{9}{10}\right)\cdot\left(\frac{6}{10}\right)!>1$
Published on
17 Aug 2022 - 12:36
#trigonometry
#inequality
#examples-counterexamples
#gamma-function
184
Views
Prove the inequality : $\int_{-2}^{2}e!^{-y^{2}}dy<\int_{-2}^{2}e^{-1}dy$
Published on
29 Mar 2026 - 20:38
#inequality
#definite-integrals
#gamma-function
#error-function
3.6k
Views
What is $\Gamma(1/4)$? I'm trying to figure out how you would go about solving it
Published on
13 Apr 2026 - 6:33
#probability-theory
#definite-integrals
#gamma-function
340
Views
$\int_0^{\infty}x^n e^{-ax}dx$
Published on
22 Aug 2022 - 9:23
#definite-integrals
#gamma-function
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