Question

When does the Fourier transform "looks like" the original function?

score 169 · Answer 1 · 2024-01-30 11:29:32

169

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When does the Fourier transform "looks like" the original function?

Published on 30 Jan 2024 - 11:29

score 83 · Answer 2 · 2024-01-31 19:34:22

83

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Evaluate $\sum_{j=1}^{+\infty}\left(\log (j)-\log (j+x)+\frac x{2j}+\frac{3x}2\right)$

Published on 31 Jan 2024 - 19:34

score 61 · Answer 3 · 2026-03-27 12:27:37

61

Views

Help verifying expression involving dilogarithms.

Published on 27 Mar 2026 - 12:27

score 49 · Answer 4 · 2026-03-31 02:15:23

49

Views

Sum over exponential function lying within the argument of another exponential function

Published on 31 Mar 2026 - 2:15

score 39 · Answer 5 · 2026-03-26 17:33:05

39

Views

Deriving connection formulas for the incomplete elliptic integral of the third kind

Published on 26 Mar 2026 - 17:33

score 100 · Answer 6 · 2026-03-30 16:43:29

100

Views

Approximation formula for the Kummer function ${}_1F_1(a, b, x)$ for large $x$?

Published on 30 Mar 2026 - 16:43

score 41 · Answer 7 · 2026-03-26 16:03:41

41

Views

Relationship Weierstrass elliptic function, Jacobi elliptic functions

Published on 26 Mar 2026 - 16:03

score 43 · Answer 8 · 2024-02-05 20:06:52

43

Views

Find an example of a two-rule concave function with specific conditions

Published on 05 Feb 2024 - 20:06

score 99 · Answer 9 · 2026-03-31 09:43:56

99

Views

$\frac{1}{\pi} \int_{0}^{2\pi} e^{-x e^{-i\pi\sin(\theta)} - y e^{-2i\pi\sin(\theta)}} d\theta$: Exact or Upper Bound

Published on 31 Mar 2026 - 9:43

score 25 · Answer 10 · 2026-03-27 09:26:16

25

Views

Relation between Gaussian integral and Kummer's hypergeometric function

Published on 27 Mar 2026 - 9:26

score 45 · Answer 11 · 2026-04-04 07:27:24

45

Views

$\frac{1}{\pi} \int_{0}^{2\pi} \theta^m \exp\left(-\sum_{k=1}^{K} x_k e^{-ik\pi\sin(\theta)}\right) d\theta$

Published on 04 Apr 2026 - 7:27

score 39 · Answer 12 · 2026-03-31 11:59:37

39

Views

a special kind of Kapteyn-like Series

Published on 31 Mar 2026 - 11:59

score 69 · Answer 13 · 2026-03-30 16:49:33

69

Views

How to write Tricomi's confluent hypergeometric function in terms of Meijer-G function

Published on 30 Mar 2026 - 16:49

score 49 · Answer 14 · 2026-02-23 04:44:33

49

Views

Connection between the polylogarithm and the Bernoulli polynomials.

Published on 23 Feb 2026 - 4:44

score 177 · Answer 15 · 2026-03-30 16:48:37

177

Views

I'm stuck in calculating $_2F_1(1,1;\tfrac12;\tfrac12)$

Published on 30 Mar 2026 - 16:48

List Question

When does the Fourier transform "looks like" the original function?

Evaluate $\sum_{j=1}^{+\infty}\left(\log (j)-\log (j+x)+\frac x{2j}+\frac{3x}2\right)$

Help verifying expression involving dilogarithms.

Sum over exponential function lying within the argument of another exponential function

Deriving connection formulas for the incomplete elliptic integral of the third kind

Approximation formula for the Kummer function ${}_1F_1(a, b, x)$ for large $x$?

Relationship Weierstrass elliptic function, Jacobi elliptic functions

Find an example of a two-rule concave function with specific conditions

$\frac{1}{\pi} \int_{0}^{2\pi} e^{-x e^{-i\pi\sin(\theta)} - y e^{-2i\pi\sin(\theta)}} d\theta$: Exact or Upper Bound

Relation between Gaussian integral and Kummer's hypergeometric function

$\frac{1}{\pi} \int_{0}^{2\pi} \theta^m \exp\left(-\sum_{k=1}^{K} x_k e^{-ik\pi\sin(\theta)}\right) d\theta$

a special kind of Kapteyn-like Series

How to write Tricomi's confluent hypergeometric function in terms of Meijer-G function

Connection between the polylogarithm and the Bernoulli polynomials.

I'm stuck in calculating $_2F_1(1,1;\tfrac12;\tfrac12)$

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