Question

How to solve $x=\lim\limits_{t\to0} Q^{-1}(t,t)\implies \text{Ei}(-x)=-1\implies Γ(0,x)=1$?

score 97 · Answer 1 · 2021-10-09 16:25:00

97

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How to solve $x=\lim\limits_{t\to0} Q^{-1}(t,t)\implies \text{Ei}(-x)=-1\implies Γ(0,x)=1$?

Published on 09 Oct 2021 - 16:25

score 186 · Answer 2 · 2026-02-23 07:23:07

186

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Does this Auxiliary Fresnel Sum=$\frac1{2\sqrt2\pi}\int \limits_0^\infty \frac{\vartheta_3\left(e^{-\frac{\pi x}2}\right)\sqrt x}{x^2+1}dx +\frac14 $?

Published on 23 Feb 2026 - 7:23

score 142 · Answer 3 · 2021-10-16 20:57:26

142

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Finding the constant of a joint probabiity distribution

Published on 16 Oct 2021 - 20:57

score 60 · Answer 4 · 2021-10-29 13:30:07

60

Views

Constant after integration

Published on 29 Oct 2021 - 13:30

score 159 · Answer 5 · 2021-10-29 19:37:04

159

Views

What determines how to treat single variable PDEs and thus their constants of integration?

Published on 29 Oct 2021 - 19:37

score 149 · Answer 6 · 2021-11-04 23:25:51

149

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Evaluation of $\sum\limits_{n=1}^\infty \frac 1{\text G(n)}≈ 3+\frac{\,_0\rm F_2(2,3;1)}2 $ with the Barnes G function?

Published on 04 Nov 2021 - 23:25

score 19 · Answer 7 · 2026-03-24 12:34:59

19

Views

Integral Constant Increasing with Equation Output

Published on 24 Mar 2026 - 12:34

score 218 · Answer 8 · 2021-11-13 00:55:31

218

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Evaluation of $\sum\limits_{n=1}^\infty \frac{(-1)^n\text{Ei}(n)}{n!}$

Published on 13 Nov 2021 - 0:55

score 50 · Answer 9 · 2021-11-15 03:52:50

50

Views

Pulling Some Threads of the 2nd Order PDE Technique

Published on 15 Nov 2021 - 3:52

score 139 · Answer 10 · 2021-11-19 01:45:05

139

Views

On the evaluation of $\sum\limits_3^\infty \frac1{\ln\Gamma(n)}$

Published on 19 Nov 2021 - 1:45

score 141 · Answer 11 · 2026-03-26 04:20:04

141

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Find out constants$~a,b,c,d~$such that$~\lim_{x\to0}\frac{\sin^{}\left(3x\right)-\left(ax^{2}+bx+c\right)}{x^{3}}=d~$is satisfied

Published on 26 Mar 2026 - 4:20

score 47 · Answer 12 · 2021-12-02 03:23:54

47

Views

Second derivatives test - Finding unknown constants

Published on 02 Dec 2021 - 3:23

score 128 · Answer 13 · 2021-12-04 15:02:57

128

Views

Show that $\ln(\sin(-20)+21)>3$ by hand

Published on 04 Dec 2021 - 15:02

score 45 · Answer 14 · 2021-12-09 15:34:19

45

Views

Show that $h(e)<f(e)$ where e is the exponential

Published on 09 Dec 2021 - 15:34

score 85 · Answer 15 · 2021-12-11 10:45:25

85

Views

About the minimum of the Gamma function on $(0,1)$

Published on 11 Dec 2021 - 10:45

List Question

How to solve $x=\lim\limits_{t\to0} Q^{-1}(t,t)\implies \text{Ei}(-x)=-1\implies Γ(0,x)=1$?

Does this Auxiliary Fresnel Sum=$\frac1{2\sqrt2\pi}\int \limits_0^\infty \frac{\vartheta_3\left(e^{-\frac{\pi x}2}\right)\sqrt x}{x^2+1}dx +\frac14 $?

Finding the constant of a joint probabiity distribution

Constant after integration

What determines how to treat single variable PDEs and thus their constants of integration?

Evaluation of $\sum\limits_{n=1}^\infty \frac 1{\text G(n)}≈ 3+\frac{\,_0\rm F_2(2,3;1)}2 $ with the Barnes G function?

Integral Constant Increasing with Equation Output

Evaluation of $\sum\limits_{n=1}^\infty \frac{(-1)^n\text{Ei}(n)}{n!}$

Pulling Some Threads of the 2nd Order PDE Technique

On the evaluation of $\sum\limits_3^\infty \frac1{\ln\Gamma(n)}$

Find out constants$~a,b,c,d~$such that$~\lim_{x\to0}\frac{\sin^{}\left(3x\right)-\left(ax^{2}+bx+c\right)}{x^{3}}=d~$is satisfied

Second derivatives test - Finding unknown constants

Show that $\ln(\sin(-20)+21)>3$ by hand

Show that $h(e)<f(e)$ where e is the exponential

About the minimum of the Gamma function on $(0,1)$

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