List questions from gamma-function

Published on 03 Oct 2020 - 14:54

127

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Is $\Gamma(s, x=s-1)/\Gamma(s)$ decreasing for real $s>1$? Is $\Gamma(s, x=s)/\Gamma(s)$ increasing?

Published on 30 Mar 2026 - 21:03

165

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References on binomial coefficients of the form $\binom{-1/m}{k} $

Published on 04 Oct 2020 - 13:18

88

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$\prod_{k=1}^n (3k-1)$ in terms of the factorial of natural numbers

Published on 04 Apr 2026 - 13:43

6.3k

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Gamma function identity involving 5/4, 3/4, 1/4 and pi

Published on 08 Oct 2020 - 4:45

228

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computing the expected value of gamma function

Published on 26 Mar 2026 - 6:17

33

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Is this inequality correct? (inequality with incomplete gamma function)

Published on 01 Apr 2026 - 11:01

244

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Is there a decomposition for the digamma function as a sum of digamma functions?

Published on 25 Mar 2026 - 19:04

58

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Gamma function and product of $\int_0^\pi \sin^k x\,dx$

Published on 13 Oct 2020 - 12:01

291

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Integral of $\exp(-\|x\|_p)$

Published on 17 Oct 2020 - 9:22

103

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Derivation of the relation between Associated Legendre Function and Gauss Hypergeometric Function

Published on 23 Feb 2026 - 16:56

99

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Integration using a Gamma Function

Published on 08 Apr 2026 - 23:28

60

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Finding the maximum of this function using a continuous approximation of factorials

Published on 09 Apr 2026 - 0:00

165

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Imaginary asymptotics for the digamma function

Published on 21 Oct 2020 - 10:08

762

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Asymptotic behavior of a Fourier/Laplace transform

Published on 22 Oct 2020 - 11:21

List Question

Is there a closed form for the binomial expression $\binom{-1/m}{k} $?

Is $\Gamma(s, x=s-1)/\Gamma(s)$ decreasing for real $s>1$? Is $\Gamma(s, x=s)/\Gamma(s)$ increasing?

References on binomial coefficients of the form $\binom{-1/m}{k} $

$\prod_{k=1}^n (3k-1)$ in terms of the factorial of natural numbers

Gamma function identity involving 5/4, 3/4, 1/4 and pi

computing the expected value of gamma function

Is this inequality correct? (inequality with incomplete gamma function)

Is there a decomposition for the digamma function as a sum of digamma functions?

Gamma function and product of $\int_0^\pi \sin^k x\,dx$

Integral of $\exp(-\|x\|_p)$

Derivation of the relation between Associated Legendre Function and Gauss Hypergeometric Function

Integration using a Gamma Function

Finding the maximum of this function using a continuous approximation of factorials

Imaginary asymptotics for the digamma function

Asymptotic behavior of a Fourier/Laplace transform

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