List questions from gamma-function

Published on 01 May 2015 - 17:53

79

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Intuitive explanation for this Gamma function identity

Published on 03 Apr 2026 - 4:37

550

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Inverse Gamma function for integers (Hankel)

Published on 08 May 2015 - 12:30

1k

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prove an identity involving beta function and gamma function

Published on 27 Mar 2026 - 10:44

475

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Show that: $\int_{0}^{\infty} \frac{\sin{x^{q}}}{x^{q}} dx = \frac{\Gamma{\frac{1}{q}}}{q-1}\cos{\frac{\pi}{2q}} \mbox{, q > 1}$

Published on 11 May 2015 - 17:08

259

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Series of gamma function with fixed real part and increasing imaginary part

Published on 13 May 2015 - 7:20

252

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Proving $\int_0^\infty e^{-ax}x^n\,dx = \frac{1}{a^{n+1}} \Gamma(n+1)$

Published on 16 May 2015 - 19:33

475

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Concerning Hurwitz Zeta function, how to prove the following identity?

Published on 29 Mar 2026 - 16:49

1.1k

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Derivation of Gamma distribution characteristic function reference?

Published on 29 Mar 2026 - 20:12

8.8k

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How to obtain the Laurent expansion of gamma function around $z=0$?

Published on 30 Mar 2026 - 16:06

2.6k

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Proof $\operatorname B(x,y)=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}$

Published on 27 Mar 2026 - 10:47

36

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Decomposing a series

Published on 19 May 2015 - 8:11

36

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convergence and holomorphic function - explanations and proofs

Published on 19 May 2015 - 14:39

219

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how can I show this integral diverges?

Published on 19 May 2015 - 18:08

72

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Alternate formula for $Γ(t + 1)$

Published on 29 Mar 2026 - 16:19

List Question

Understand Substitution used in Integral

Intuitive explanation for this Gamma function identity

Inverse Gamma function for integers (Hankel)

prove an identity involving beta function and gamma function

Show that: $\int_{0}^{\infty} \frac{\sin{x^{q}}}{x^{q}} dx = \frac{\Gamma{\frac{1}{q}}}{q-1}\cos{\frac{\pi}{2q}} \mbox{, q > 1}$

Series of gamma function with fixed real part and increasing imaginary part

Proving $\int_0^\infty e^{-ax}x^n\,dx = \frac{1}{a^{n+1}} \Gamma(n+1)$

Concerning Hurwitz Zeta function, how to prove the following identity?

Derivation of Gamma distribution characteristic function reference?

How to obtain the Laurent expansion of gamma function around $z=0$?

Proof $\operatorname B(x,y)=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}$

Decomposing a series

convergence and holomorphic function - explanations and proofs

how can I show this integral diverges?

Alternate formula for $Γ(t + 1)$

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