Question

Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

score 148 · Answer 1 · 2026-03-29 12:47:24

148

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Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

Published on 29 Mar 2026 - 12:47

score 616 · Answer 2 · 2026-03-28 18:17:12

616

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Finding the value of ${_2F_1}\left(\frac12,\frac12;\ 1;\ 1/9\right)$

Published on 28 Mar 2026 - 18:17

score 311 · Answer 3 · 2026-03-29 12:50:18

311

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Solving the Integral $\int_0^{\infty} \, \mathrm{arcsinh} \left(\frac{a}{\sqrt{x^2+y^2}} \right) \, \mathrm{cos}(b \, x) \,\mathrm{d}x$

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score 327 · Answer 4 · 2016-08-11 21:50:17

327

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score 42 · Answer 5 · 2016-08-12 01:12:33

42

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score 262 · Answer 6 · 2026-03-28 20:22:22

262

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score 313 · Answer 7 · 2026-03-28 20:07:12

313

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score 217 · Answer 8 · 2026-03-28 18:12:52

217

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hypergeometric 2F2 function close form for specific case

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score 161 · Answer 9 · 2016-08-15 18:22:29

161

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score 252 · Answer 10 · 2026-03-25 17:40:42

252

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score 285 · Answer 11 · 2026-04-01 20:58:11

285

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hurwitz zeta Integral representation

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score 116 · Answer 12 · 2026-03-25 09:29:52

116

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On $\lim_{x\to 0}\frac{-(1+\sqrt{-x})\psi^{(0)}(1-\sqrt{-x})+(1+\sqrt{-x})\psi^{(0)}(\sqrt{-x}+1)+2\psi^{(0)}(1+x)}{2(\sqrt{-x}-1)(\sqrt{-x}+1)x}$

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score 409 · Answer 13 · 2026-03-25 19:02:46

409

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score 59 · Answer 14 · 2026-03-25 19:02:26

59

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score 233 · Answer 15 · 2016-08-17 18:44:26

233

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Two Bessel Functions

Published on 17 Aug 2016 - 18:44

List Question

Help with calculating Fourier transform of $\left(\frac{x-i}{x+i}\right)^{n}\cdot \frac{1}{(x^2+1)^{s}}$

Finding the value of ${_2F_1}\left(\frac12,\frac12;\ 1;\ 1/9\right)$

Solving the Integral $\int_0^{\infty} \, \mathrm{arcsinh} \left(\frac{a}{\sqrt{x^2+y^2}} \right) \, \mathrm{cos}(b \, x) \,\mathrm{d}x$

How to plot complicated graphs? (applied-mathematics for physicists)

Is this a valid application of Bernoulli's inequality for the first Chebyshev function? $\vartheta((x+1)^2) \ge \vartheta(1+2x)$

Proof of Integral (Gradshteyn & Ryzhik 3.462.1)

Challenging definite integral of hypergeometric functions

hypergeometric 2F2 function close form for specific case

An integral involving a the dilogarithmic function

Can this exponential function be represented in terms of the Meijer-G or Fox-H functions?

hurwitz zeta Integral representation

On $\lim_{x\to 0}\frac{-(1+\sqrt{-x})\psi^{(0)}(1-\sqrt{-x})+(1+\sqrt{-x})\psi^{(0)}(\sqrt{-x}+1)+2\psi^{(0)}(1+x)}{2(\sqrt{-x}-1)(\sqrt{-x}+1)x}$

A relationship between the Laguerre and the Hermite equations

Generalized Laguerre function $ L^{\alpha}_n(x)$ fo $\alpha$ not necessarily a positive integer

Two Bessel Functions

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