List questions from gamma-function

Published on 29 Mar 2026 - 21:36

378

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Solving $n! = 10^6$ for $n$

Published on 30 Mar 2026 - 1:11

112

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Does $\int_{0}^{\infty} \frac{e^{-2x}}{ x^2 + 1} \,dx $ converge?

Published on 04 Mar 2020 - 11:26

122

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Find $E(e^{aX})$ if $X \sim \operatorname{Gamma}(\lambda, k)$

Published on 25 Mar 2026 - 13:51

66

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Finding the Inverse of the Product of Two Gamma Functions

Published on 07 Mar 2020 - 23:13

375

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Calculating half derivative of $x$ using Cauchy's repeated integral formula

Published on 25 Mar 2026 - 13:55

554

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How to prove that $ \mathcal{L}[J_0(\sqrt {t^2+2t})] = \frac {e^{ \sqrt {s^2+1}}}{\sqrt{s^2+1}} $

Published on 28 Mar 2026 - 23:19

98

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"Simple" Summation Identity involving Gamma Functions

Published on 10 Mar 2020 - 7:31

1.7k

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Express in gamma/beta functions $\int_{0}^{\pi/2}\tan^n x \ dx$

Published on 26 Mar 2026 - 1:28

93

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On proving $\Gamma (z+1)=4^z \prod _{k=1}^{\infty } \frac{\Gamma \left(\frac{z}{2^k}+\frac{1}{2}\right)}{\sqrt{\pi }}$

Published on 28 Mar 2026 - 14:06

603

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Asymptotic expansion of $\sum _{k=1}^n \left(\frac{k}{n}\right)^k$

Published on 11 Mar 2020 - 9:58

134

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How can I compute this integral involving $\Gamma$-functions?

Published on 23 Feb 2026 - 13:35

67

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Derivatives of Gamma at 1

Published on 12 Mar 2020 - 14:36

240

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Simplifying $\frac{\Gamma\left(x\right)^{2}}{\Gamma\left(x-\sqrt{2}\right)\Gamma\left(x+\sqrt{2}\right)}$

Published on 12 Mar 2020 - 14:40

122

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Meijer G-Function identity contradicts Holder's Theorem

Published on 13 Mar 2020 - 23:53

List Question

How to find $\Gamma(N/2+1)$?

Solving $n! = 10^6$ for $n$

Does $\int_{0}^{\infty} \frac{e^{-2x}}{ x^2 + 1} \,dx $ converge?

Find $E(e^{aX})$ if $X \sim \operatorname{Gamma}(\lambda, k)$

Finding the Inverse of the Product of Two Gamma Functions

Calculating half derivative of $x$ using Cauchy's repeated integral formula

How to prove that $ \mathcal{L}[J_0(\sqrt {t^2+2t})] = \frac {e^{ \sqrt {s^2+1}}}{\sqrt{s^2+1}} $

"Simple" Summation Identity involving Gamma Functions

Express in gamma/beta functions $\int_{0}^{\pi/2}\tan^n x \ dx$

On proving $\Gamma (z+1)=4^z \prod _{k=1}^{\infty } \frac{\Gamma \left(\frac{z}{2^k}+\frac{1}{2}\right)}{\sqrt{\pi }}$

Asymptotic expansion of $\sum _{k=1}^n \left(\frac{k}{n}\right)^k$

How can I compute this integral involving $\Gamma$-functions?

Derivatives of Gamma at 1

Simplifying $\frac{\Gamma\left(x\right)^{2}}{\Gamma\left(x-\sqrt{2}\right)\Gamma\left(x+\sqrt{2}\right)}$

Meijer G-Function identity contradicts Holder's Theorem

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