List questions from gamma-function

Published on 25 Mar 2026 - 15:41

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Why does an additional -1/x term in the integrand of the Mellin transform representation of the Riemann zeta function not change its value?

Published on 25 Mar 2026 - 15:42

221

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How to Integrate the Gamma Function

Published on 01 Apr 2026 - 20:22

133

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Does $\lim_{x\to 0} \left(2^{1-x!}3^{1-x!!}4^{1-x!!!}5^{1-x!!!!}6^{1-x!!!!!}\cdot\cdot\cdot\right)^{\frac{1}{x}}=L$ admits a closed form?

Published on 02 Apr 2026 - 6:04

184

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$\lim_{n\to\infty} \left(\frac{e}{n}\right)^n \int_0^n |x(x-1)(x-2)\dots(x-n)|dx$

Published on 14 Mar 2023 - 22:12

153

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Asymptotic expressions for the coordinates of the turning point in $x\in(0,1)$ on $y=|x(x-1)(x-2)\dots(x-n)|$ as $n\to\infty$?

Published on 23 Feb 2026 - 7:49

92

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Conjecture about the minimum of the Gamma function

Published on 28 Mar 2026 - 3:26

92

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Asymptotics of incomplete gamma function

Published on 18 Mar 2023 - 22:30

99

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Minimum of the Gamma/factorial function using dichotomy and Lagrange inversion theorem .

Published on 28 Mar 2026 - 13:35

180

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On a formula for Hypergeometric function $_3F_2(a,b,c;d,e;1)$

Published on 30 Mar 2026 - 1:45

103

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Showing $\Gamma'(1)=-\gamma$ using recursion property of $\Gamma(x)$

Published on 28 Mar 2023 - 10:43

513

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Solving for $x$, $e^x=x!$

Published on 01 Apr 2026 - 20:20

46

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Simple and interesting inequality involving the Lerch transcendent function

Published on 28 Mar 2026 - 9:44

164

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Indefinite integral of $e^{-x^2}$

Published on 02 Apr 2023 - 18:34

52

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Mahler Series of the Gamma function

Published on 30 Mar 2026 - 3:37

List Question

Verification of integral representation of zeta function

Why does an additional -1/x term in the integrand of the Mellin transform representation of the Riemann zeta function not change its value?

How to Integrate the Gamma Function

Does $\lim_{x\to 0} \left(2^{1-x!}3^{1-x!!}4^{1-x!!!}5^{1-x!!!!}6^{1-x!!!!!}\cdot\cdot\cdot\right)^{\frac{1}{x}}=L$ admits a closed form?

$\lim_{n\to\infty} \left(\frac{e}{n}\right)^n \int_0^n |x(x-1)(x-2)\dots(x-n)|dx$

Asymptotic expressions for the coordinates of the turning point in $x\in(0,1)$ on $y=|x(x-1)(x-2)\dots(x-n)|$ as $n\to\infty$?

Conjecture about the minimum of the Gamma function

Asymptotics of incomplete gamma function

Minimum of the Gamma/factorial function using dichotomy and Lagrange inversion theorem .

On a formula for Hypergeometric function $_3F_2(a,b,c;d,e;1)$

Showing $\Gamma'(1)=-\gamma$ using recursion property of $\Gamma(x)$

Solving for $x$, $e^x=x!$

Simple and interesting inequality involving the Lerch transcendent function

Indefinite integral of $e^{-x^2}$

Mahler Series of the Gamma function

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