List questions from gamma-function

Published on 27 Mar 2026 - 16:26

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Eigenvalue of Integral Operator and Gamma Function

Published on 03 Apr 2026 - 15:55

119

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Deformation of Gamma function integral contour

Published on 28 Mar 2026 - 11:29

527

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Prove that $2\int_0^\infty \frac{e^x-x-1}{x(e^{2x}-1)} \, \mathrm{d}x =\ln(\pi)-\gamma $

Published on 01 May 2016 - 21:52

64

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Finding the survival and distribution function of a system.

Published on 26 Mar 2026 - 14:19

71

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Does $\int f(u) \, du \int g(v) \, dv = \int \int f(u) g(v) \, du \, dv $?

Published on 02 May 2016 - 20:57

268

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How are Gauss sums the analogue of the gamma function for finite fields?

Published on 03 May 2016 - 0:33

49

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Is $\Gamma (0)^{\Gamma (0)^{-1}}$ defined at negative integers / $0$?

Published on 03 May 2016 - 15:32

3k

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Show that $\int_{0}^{\infty}x^ne^{-x}\,dx=n!$ by differentiating the equality $\int_{0}^{\infty}e^{-tx}\,dx=\frac{1}{t}$

Published on 04 May 2016 - 21:35

161

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Two complementary continued fractions that are algebraic numbers

Published on 29 Mar 2026 - 2:29

174

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How to compute $\int_0^1x^a(1-x)^be^{cx}dx$?

Published on 27 Mar 2026 - 18:14

815

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Finding the singularities and residues of a Gamma/Riemann Zeta function.

Published on 06 Apr 2026 - 1:52

1.2k

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Special Gamma function integral

Published on 11 May 2016 - 10:01

1.2k

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Is a hypersphere of non-integer dimension a fractal?

Published on 29 Mar 2026 - 11:44

95

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Deriving $ \frac{1}{n^s} = \frac{1}{\Gamma(s)} \int_0^{\infty}t^{s-1} e^{-nt} \, dt $ Backwards?

Published on 06 Apr 2026 - 1:54

List Question

Expected value of exponential function

Eigenvalue of Integral Operator and Gamma Function

Deformation of Gamma function integral contour

Prove that $2\int_0^\infty \frac{e^x-x-1}{x(e^{2x}-1)} \, \mathrm{d}x =\ln(\pi)-\gamma $

Finding the survival and distribution function of a system.

Does $\int f(u) \, du \int g(v) \, dv = \int \int f(u) g(v) \, du \, dv $?

How are Gauss sums the analogue of the gamma function for finite fields?

Is $\Gamma (0)^{\Gamma (0)^{-1}}$ defined at negative integers / $0$?

Show that $\int_{0}^{\infty}x^ne^{-x}\,dx=n!$ by differentiating the equality $\int_{0}^{\infty}e^{-tx}\,dx=\frac{1}{t}$

Two complementary continued fractions that are algebraic numbers

How to compute $\int_0^1x^a(1-x)^be^{cx}dx$?

Finding the singularities and residues of a Gamma/Riemann Zeta function.

Special Gamma function integral

Is a hypersphere of non-integer dimension a fractal?

Deriving $ \frac{1}{n^s} = \frac{1}{\Gamma(s)} \int_0^{\infty}t^{s-1} e^{-nt} \, dt $ Backwards?

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