Question

Small parameter expansion of the definite integral, divergence of coefficients

score 181 · Answer 1 · 2026-04-11 14:26:57

181

Views

Small parameter expansion of the definite integral, divergence of coefficients

Published on 11 Apr 2026 - 14:26

score 66 · Answer 2 · 2026-04-11 21:02:57

66

Views

Taylor series up to first order

Published on 11 Apr 2026 - 21:02

score 70 · Answer 3 · 2026-04-14 11:31:32

70

Views

Why the function to generate Taylor series need be differentiable on an interval and not just at the point in question instead

Published on 14 Apr 2026 - 11:31

score 101 · Answer 4 · 2026-04-17 15:07:13

101

Views

Expand the function $f(x)=(1+x)^m$ using Taylor's theorem thus, representing this function as a sum of infinite number of terms in a suitable interval

Published on 17 Apr 2026 - 15:07

score 796 · Answer 5 · 2026-03-25 04:00:10

796

Views

Is there an expression for $I(n)=\int_{0}^{\frac{\pi}{4}}x\tan^{n}x dx$?

Published on 25 Mar 2026 - 4:00

score 53 · Answer 6 · 2026-04-16 12:17:07

53

Views

Inversion of the imcomplete elliptic integral of 2nd kind: $E(z|m)=x\;\Longleftrightarrow\; z=\text{bm}(x|m)$

Published on 16 Apr 2026 - 12:17

score 59 · Answer 7 · 2026-03-26 22:15:01

59

Views

Convergent values of series containing variables approache zero

Published on 26 Mar 2026 - 22:15

score 221 · Answer 8 · 2026-04-14 10:20:34

221

Views

How do I go about finding $\int\limits_{0}^{\frac{\pi}{4}}x\ln\left(1+\tan x\right)dx$?

Published on 14 Apr 2026 - 10:20

score 18 · Answer 9 · 2026-04-25 12:03:16

18

Views

What are the steps to get a Central difference approximation in a Taylor series expansion with the steps i+-2 in x-direction?

Published on 25 Apr 2026 - 12:03

score 58 · Answer 10 · 2026-04-14 04:33:39

58

Views

Extension to n-dimension of the Taylor expansion formula $f(x+ \varepsilon) = e^{\varepsilon \frac{d}{dx}}f(x)$

Published on 14 Apr 2026 - 4:33

score 90 · Answer 11 · 2026-04-08 20:11:06

90

Views

Functional derivative of the derivative operator

Published on 08 Apr 2026 - 20:11

score 88 · Answer 12 · 2026-04-15 05:54:10

88

Views

Evaluate the sum of $1/n^6$ using Euler's method

Published on 15 Apr 2026 - 5:54

score 86 · Answer 13 · 2026-04-20 14:28:49

86

Views

Do all functions in $L^2$ have a power series representations that converges everywhere?

Published on 20 Apr 2026 - 14:28

score 56 · Answer 14 · 2026-04-16 18:18:40

56

Views

What will be the last term of the resulting series if we recursively apply integration by part infinite times?

Published on 16 Apr 2026 - 18:18

score 58 · Answer 15 · 2026-04-12 03:09:45

58

Views

If $f(z)$ has a power series expansion, how about $\exp(f(z))$ and what about its convergence?

Published on 12 Apr 2026 - 3:09

List Question

Small parameter expansion of the definite integral, divergence of coefficients

Taylor series up to first order

Why the function to generate Taylor series need be differentiable on an interval and not just at the point in question instead

Expand the function $f(x)=(1+x)^m$ using Taylor's theorem thus, representing this function as a sum of infinite number of terms in a suitable interval

Is there an expression for $I(n)=\int_{0}^{\frac{\pi}{4}}x\tan^{n}x dx$?

Inversion of the imcomplete elliptic integral of 2nd kind: $E(z|m)=x\;\Longleftrightarrow\; z=\text{bm}(x|m)$

Convergent values of series containing variables approache zero

How do I go about finding $\int\limits_{0}^{\frac{\pi}{4}}x\ln\left(1+\tan x\right)dx$?

What are the steps to get a Central difference approximation in a Taylor series expansion with the steps i+-2 in x-direction?

Extension to n-dimension of the Taylor expansion formula $f(x+ \varepsilon) = e^{\varepsilon \frac{d}{dx}}f(x)$

Functional derivative of the derivative operator

Evaluate the sum of $1/n^6$ using Euler's method

Do all functions in $L^2$ have a power series representations that converges everywhere?

What will be the last term of the resulting series if we recursively apply integration by part infinite times?

If $f(z)$ has a power series expansion, how about $\exp(f(z))$ and what about its convergence?

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