Question

Is there any $a, b \in \mathbb R, b \ne 0$ such that $\Gamma(a+bi)$ can be evaluated manually?

score 353 · Answer 1 · 2018-09-22 08:26:53

353

Views

Is there any $a, b \in \mathbb R, b \ne 0$ such that $\Gamma(a+bi)$ can be evaluated manually?

Published on 22 Sep 2018 - 8:26

score 95 · Answer 2 · 2018-09-23 19:15:14

95

Views

Prove $\lim\limits_{r \to \infty} r-\frac{\sqrt{r}}{e^{r}}\sum_{n=0}^{\infty}\frac{\Gamma{(n+3/2)}r^n}{(n!)^2}=1/4$

Published on 23 Sep 2018 - 19:15

score 203 · Answer 3 · 2018-09-25 16:00:48

203

Views

Reflection Formula on Gamma Function, integral substitution

Published on 25 Sep 2018 - 16:00

score 2.6k · Answer 4 · 2018-09-25 16:52:09

2.6k

Views

Integral for $\Gamma(z) \Gamma(1-z)$

Published on 25 Sep 2018 - 16:52

score 153 · Answer 5 · 2026-03-25 21:51:14

153

Views

Is it legal to use factorials of negative integers when summing Taylor series of different derivatives?

Published on 25 Mar 2026 - 21:51

score 338 · Answer 6 · 2026-03-22 10:56:23

338

Views

Is there a term for extensions of functions on discrete sets to continuous sets?

Published on 22 Mar 2026 - 10:56

score 78 · Answer 7 · 2018-09-28 18:02:43

78

Views

Gamma and incomplete gamma functions- when are they equal?

Published on 28 Sep 2018 - 18:02

score 32 · Answer 8 · 2026-03-25 04:37:46

32

Views

Need help isolating variables (average translational energy equation)

Published on 25 Mar 2026 - 4:37

score 646 · Answer 9 · 2018-09-30 14:28:58

646

Views

the gamma function being undefined

Published on 30 Sep 2018 - 14:28

score 4.2k · Answer 10 · 2018-10-01 16:21:16

4.2k

Views

What is the Laplace transform of gamma function?

Published on 01 Oct 2018 - 16:21

score 456 · Answer 11 · 2026-03-25 04:39:19

456

Views

Evaluating $K\big(\frac{3-\sqrt{7}}{4\sqrt{2}}\big)$

Published on 25 Mar 2026 - 4:39

score 252 · Answer 12 · 2026-03-25 12:48:59

252

Views

A query while showing that the Gamma function $\Gamma$ is logarithmically convex for $x \gt 0.$

Published on 25 Mar 2026 - 12:48

score 937 · Answer 13 · 2026-03-25 07:15:07

937

Views

Median of beta distribution for alpha = beta

Published on 25 Mar 2026 - 7:15

score 45 · Answer 14 · 2018-10-05 18:29:00

45

Views

$\phi(x)$ for negative integers

Published on 05 Oct 2018 - 18:29

score 37 · Answer 15 · 2018-10-07 19:36:36

37

Views

Show that $\frac{1}{\Gamma(a)}\int_{0}^{\infty}[1-e^{-z(u^{-1/a}-1)}][1-e^{-z(v^{-1/a}-1)}]z^{a-1}e^{-z}dz=[max(u^{-a}+v^{-a}-1,0)]^{-1/a}$

Published on 07 Oct 2018 - 19:36

List Question

Is there any $a, b \in \mathbb R, b \ne 0$ such that $\Gamma(a+bi)$ can be evaluated manually?

Prove $\lim\limits_{r \to \infty} r-\frac{\sqrt{r}}{e^{r}}\sum_{n=0}^{\infty}\frac{\Gamma{(n+3/2)}r^n}{(n!)^2}=1/4$

Reflection Formula on Gamma Function, integral substitution

Integral for $\Gamma(z) \Gamma(1-z)$

Is it legal to use factorials of negative integers when summing Taylor series of different derivatives?

Is there a term for extensions of functions on discrete sets to continuous sets?

Gamma and incomplete gamma functions- when are they equal?

Need help isolating variables (average translational energy equation)

the gamma function being undefined

What is the Laplace transform of gamma function?

Evaluating $K\big(\frac{3-\sqrt{7}}{4\sqrt{2}}\big)$

A query while showing that the Gamma function $\Gamma$ is logarithmically convex for $x \gt 0.$

Median of beta distribution for alpha = beta

$\phi(x)$ for negative integers

Show that $\frac{1}{\Gamma(a)}\int_{0}^{\infty}[1-e^{-z(u^{-1/a}-1)}][1-e^{-z(v^{-1/a}-1)}]z^{a-1}e^{-z}dz=[max(u^{-a}+v^{-a}-1,0)]^{-1/a}$

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