Question

Why is $\sum{\frac{1}{(j/2)!}(\xi)^j}\approx\sum{\frac{1}{j!}(\xi)^{2j}}$?

score 92 · Answer 1 · 2026-04-01 01:15:47

92

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Why is $\sum{\frac{1}{(j/2)!}(\xi)^j}\approx\sum{\frac{1}{j!}(\xi)^{2j}}$?

Published on 01 Apr 2026 - 1:15

score 584 · Answer 2 · 2026-03-28 07:43:23

584

Views

integral involving error function (erf)

Published on 28 Mar 2026 - 7:43

score 58 · Answer 3 · 2016-01-08 01:18:51

58

Views

Aproximation (Proof)

Published on 08 Jan 2016 - 1:18

score 48 · Answer 4 · 2016-01-08 10:00:06

48

Views

Approximation of $2$nd Derivative Up to $O(h^4)$

Published on 08 Jan 2016 - 10:00

score 767 · Answer 5 · 2026-03-30 07:06:16

767

Views

Rational series representation of $e^\pi$

Published on 30 Mar 2026 - 7:06

score 112 · Answer 6 · 2026-04-04 10:16:10

112

Views

How can I use Stirlings inequality to prove this inequality?

Published on 04 Apr 2026 - 10:16

score 21 · Answer 7 · 2016-01-09 15:12:50

21

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looking for approximation/expansion of $f(t)=a(t)/\sqrt{b(t) + \epsilon(t)}$ with $\epsilon(t) << b(t)$

Published on 09 Jan 2016 - 15:12

score 822 · Answer 8 · 2016-01-09 16:26:25

822

Views

Why is $e$ close to $H_8$, closer to $H_8\left(1+\frac{1}{80^2}\right)$ and even closer to $\gamma+\log\left(\frac{17}{2}\right) +\frac{1}{10^3}$?

Published on 09 Jan 2016 - 16:26

score 221 · Answer 9 · 2016-01-11 18:14:16

221

Views

Series for Stieltjes constants from $\gamma= \sum_{n=1}^\infty \left(\frac{2}{n}-\sum_{j=n(n-1)+1}^{n(n+1)} \frac{1}{j}\right)$

Published on 11 Jan 2016 - 18:14

score 150 · Answer 10 · 2026-03-26 04:35:49

150

Views

Can this integral be evaluated/approximated?

Published on 26 Mar 2026 - 4:35

score 51 · Answer 11 · 2016-01-13 02:21:17

51

Views

How many "seeks" are there in these binary sequences?

Published on 13 Jan 2016 - 2:21

score 488 · Answer 12 · 2026-03-29 04:09:45

488

Views

Cubic curve as approximation of Euler spirals?

Published on 29 Mar 2026 - 4:09

score 527 · Answer 13 · 2026-03-28 06:15:50

527

Views

Integral of a Gaussian with Trigonometric functions Involved

Published on 28 Mar 2026 - 6:15

score 75 · Answer 14 · 2026-03-29 14:20:12

75

Views

Three almost-integers of the form $ce^{H_a+H_b}\approx 2^k\pm1$

Published on 29 Mar 2026 - 14:20

score 126 · Answer 15 · 2026-04-06 03:15:59

126

Views

Closed form or approximation of $\sum\limits_{i=0}^{n-1}\sum\limits_{j=i + 1}^{n-1} \frac{i + j + 2}{(i + 1)(j+1)} (i + 2x)(j +2x)$

Published on 06 Apr 2026 - 3:15

List Question

Why is $\sum{\frac{1}{(j/2)!}(\xi)^j}\approx\sum{\frac{1}{j!}(\xi)^{2j}}$?

integral involving error function (erf)

Aproximation (Proof)

Approximation of $2$nd Derivative Up to $O(h^4)$

Rational series representation of $e^\pi$

How can I use Stirlings inequality to prove this inequality?

looking for approximation/expansion of $f(t)=a(t)/\sqrt{b(t) + \epsilon(t)}$ with $\epsilon(t) << b(t)$

Why is $e$ close to $H_8$, closer to $H_8\left(1+\frac{1}{80^2}\right)$ and even closer to $\gamma+\log\left(\frac{17}{2}\right) +\frac{1}{10^3}$?

Series for Stieltjes constants from $\gamma= \sum_{n=1}^\infty \left(\frac{2}{n}-\sum_{j=n(n-1)+1}^{n(n+1)} \frac{1}{j}\right)$

Can this integral be evaluated/approximated?

How many "seeks" are there in these binary sequences?

Cubic curve as approximation of Euler spirals?

Integral of a Gaussian with Trigonometric functions Involved

Three almost-integers of the form $ce^{H_a+H_b}\approx 2^k\pm1$

Closed form or approximation of $\sum\limits_{i=0}^{n-1}\sum\limits_{j=i + 1}^{n-1} \frac{i + j + 2}{(i + 1)(j+1)} (i + 2x)(j +2x)$

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