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Reference request - Theory of rational multivariate generating functions (extracting coefficients of their taylor expansion)

score 343 · Answer 1 · 2026-03-29 16:49:44

343

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Reference request - Theory of rational multivariate generating functions (extracting coefficients of their taylor expansion)

Published on 29 Mar 2026 - 16:49

score 472 · Answer 2 · 2026-03-28 11:42:45

472

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Forward/backward error of a sine approximation

Published on 28 Mar 2026 - 11:42

score 2.2k · Answer 3 · 2019-09-04 01:31:49

2.2k

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Taylor Series expansion of cos z

Published on 04 Sep 2019 - 1:31

score 364 · Answer 4 · 2026-03-26 03:00:39

364

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Bernoulli Numbers are rationals?

Published on 26 Mar 2026 - 3:00

score 45 · Answer 5 · 2019-09-04 16:41:39

45

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Lagrange remainder of Taylor expansion: proof $\ge 0 $

Published on 04 Sep 2019 - 16:41

score 236 · Answer 6 · 2019-09-04 20:56:02

236

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Compute and simplify the full Taylor series of a function about $x=0$

Published on 04 Sep 2019 - 20:56

score 53 · Answer 7 · 2026-03-28 05:57:56

53

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Limit of function with taylor series

Published on 28 Mar 2026 - 5:57

score 389 · Answer 8 · 2019-09-05 11:34:24

389

Views

Taylor expansion of a function on the unit sphere

Published on 05 Sep 2019 - 11:34

score 155 · Answer 9 · 2026-03-25 11:16:53

155

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What is the Taylor series expansion of Incomplete Elliptical Integral Second Kind (namely $E(\phi,k)$ and its inverse $E^{-1}(\phi,k)$?

Published on 25 Mar 2026 - 11:16

score 452 · Answer 10 · 2019-09-07 00:48:59

452

Views

Taylor expansion of a function where denominator is x - at point $x_0 = 0 $

Published on 07 Sep 2019 - 0:48

score 164 · Answer 11 · 2026-03-30 09:35:48

164

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Upper bound for Taylor polynomial for $f(x) = e^x \cdot \cos(x)$ on $[0,1]$

Published on 30 Mar 2026 - 9:35

score 60 · Answer 12 · 2019-09-08 04:47:55

60

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Is there a $C^{\infty}$ function $f$ such that the radius of convergence of $\sum_{n=0}^\infty \frac{f^{(n)}(x_0)}{n!} (x-x_0)^n$ is $0$?

Published on 08 Sep 2019 - 4:47

score 469 · Answer 13 · 2026-03-30 08:33:05

469

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Sharper upper bound for remainder term of $P_2(x)$ of $ e^x\cos(x)$

Published on 30 Mar 2026 - 8:33

score 72 · Answer 14 · 2026-03-27 17:04:27

72

Views

Taylor Series Expansion of $\frac{|\sin(x)|}{x}$

Published on 27 Mar 2026 - 17:04

score 64 · Answer 15 · 2026-03-28 17:04:52

64

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$\left|\frac{f(0)+f(1)}{2} - \int_0^1 f(x)dx\right| \le C \int_0^1 |f''(x)|dx$ for all $C^2$ functions

Published on 28 Mar 2026 - 17:04

List Question

Reference request - Theory of rational multivariate generating functions (extracting coefficients of their taylor expansion)

Forward/backward error of a sine approximation

Taylor Series expansion of cos z

Bernoulli Numbers are rationals?

Lagrange remainder of Taylor expansion: proof $\ge 0 $

Compute and simplify the full Taylor series of a function about $x=0$

Limit of function with taylor series

Taylor expansion of a function on the unit sphere

What is the Taylor series expansion of Incomplete Elliptical Integral Second Kind (namely $E(\phi,k)$ and its inverse $E^{-1}(\phi,k)$?

Taylor expansion of a function where denominator is x - at point $x_0 = 0 $

Upper bound for Taylor polynomial for $f(x) = e^x \cdot \cos(x)$ on $[0,1]$

Is there a $C^{\infty}$ function $f$ such that the radius of convergence of $\sum_{n=0}^\infty \frac{f^{(n)}(x_0)}{n!} (x-x_0)^n$ is $0$?

Sharper upper bound for remainder term of $P_2(x)$ of $ e^x\cos(x)$

Taylor Series Expansion of $\frac{|\sin(x)|}{x}$

$\left|\frac{f(0)+f(1)}{2} - \int_0^1 f(x)dx\right| \le C \int_0^1 |f''(x)|dx$ for all $C^2$ functions

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