Question

Does the definition of the upper case incomplete gamma function $\Gamma(a,x)=\int_{x}^{\infty}e^{-t}\ t^{a-1}$ hold for any integer $a$?

score 492 · Answer 1 · 2015-07-16 13:32:45

492

Views

Does the definition of the upper case incomplete gamma function $\Gamma(a,x)=\int_{x}^{\infty}e^{-t}\ t^{a-1}$ hold for any integer $a$?

Published on 16 Jul 2015 - 13:32

score 2.6k · Answer 2 · 2015-07-17 15:17:29

2.6k

Views

How to compute the incomplete Gamma function with an negetive parameter in MATLAB?

Published on 17 Jul 2015 - 15:17

score 113 · Answer 3 · 2026-03-27 03:49:02

113

Views

How could I solve $x^{t-1}e^{-x} = a$ for $x$?

Published on 27 Mar 2026 - 3:49

score 156 · Answer 4 · 2026-03-26 22:14:54

156

Views

Improper integral of $\sqrt{x^4 + 1} - x^2$

Published on 26 Mar 2026 - 22:14

score 73 · Answer 5 · 2015-07-25 02:29:30

73

Views

Relation of gamma function to a factorial mimic function

Published on 25 Jul 2015 - 2:29

score 250 · Answer 6 · 2015-07-26 22:36:10

250

Views

Integral and derivatives of the gamma function

Published on 26 Jul 2015 - 22:36

score 216 · Answer 7 · 2026-04-03 14:23:20

216

Views

Use stirlings approximation to prove inequality.

Published on 03 Apr 2026 - 14:23

score 175 · Answer 8 · 2015-08-03 15:35:09

175

Views

Help with C is Euler's constant and $\Gamma(0)=\infty$ in paper

Published on 03 Aug 2015 - 15:35

score 213 · Answer 9 · 2015-08-04 15:31:54

213

Views

Simplifying Series of Gamma Function

Published on 04 Aug 2015 - 15:31

score 57 · Answer 10 · 2015-08-07 06:05:39

57

Views

Is $\Gamma(\alpha k+1)t^{\beta k}-\Gamma(\beta k+1)t^{\alpha k}>0$ true?

Published on 07 Aug 2015 - 6:05

score 942 · Answer 11 · 2026-03-26 14:20:35

942

Views

Proof that the factorial is nonelementary

Published on 26 Mar 2026 - 14:20

score 665 · Answer 12 · 2015-08-11 16:03:51

665

Views

Fourier transform of $\Gamma \left (\frac{1}{2}-i \frac{p}{2 \pi} \right) /\sqrt{ \cosh(p/2)}$

Published on 11 Aug 2015 - 16:03

score 67 · Answer 13 · 2015-08-12 08:43:51

67

Views

constrained optimization including sum of two upper incomplete gamma function in both fitness function and constraint

Published on 12 Aug 2015 - 8:43

score 129 · Answer 14 · 2026-04-03 14:25:26

129

Views

Why does $\sqrt{3x} \left(\dfrac {x}{2} \right)^x$ approximate $x!$ pretty well?

Published on 03 Apr 2026 - 14:25

score 205 · Answer 15 · 2026-03-26 22:17:40

205

Views

Evaluate the integral $\int_0^\infty x^{t-1}e^{-\beta x}dx$

Published on 26 Mar 2026 - 22:17

List Question

Does the definition of the upper case incomplete gamma function $\Gamma(a,x)=\int_{x}^{\infty}e^{-t}\ t^{a-1}$ hold for any integer $a$?

How to compute the incomplete Gamma function with an negetive parameter in MATLAB?

How could I solve $x^{t-1}e^{-x} = a$ for $x$?

Improper integral of $\sqrt{x^4 + 1} - x^2$

Relation of gamma function to a factorial mimic function

Integral and derivatives of the gamma function

Use stirlings approximation to prove inequality.

Help with C is Euler's constant and $\Gamma(0)=\infty$ in paper

Simplifying Series of Gamma Function

Is $\Gamma(\alpha k+1)t^{\beta k}-\Gamma(\beta k+1)t^{\alpha k}>0$ true?

Proof that the factorial is nonelementary

Fourier transform of $\Gamma \left (\frac{1}{2}-i \frac{p}{2 \pi} \right) /\sqrt{ \cosh(p/2)}$

constrained optimization including sum of two upper incomplete gamma function in both fitness function and constraint

Why does $\sqrt{3x} \left(\dfrac {x}{2} \right)^x$ approximate $x!$ pretty well?

Evaluate the integral $\int_0^\infty x^{t-1}e^{-\beta x}dx$

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