Question

asymptotic expansion of a series related to $\cosh(x)$

score 773 · Answer 1 · 2026-04-09 13:37:26

773

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asymptotic expansion of a series related to $\cosh(x)$

Published on 09 Apr 2026 - 13:37

score 31 · Answer 2 · 2026-04-02 06:44:56

31

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Show that $j_2(x)=(\frac{3}{x^3} - \frac{1}{x} )\sin(x) - \frac{3}{x^2} \cos(x)$

Published on 02 Apr 2026 - 6:44

score 209 · Answer 3 · 2026-04-02 08:21:21

209

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$\int_0^\infty J_0(ax)e^{-px} dx=\frac{1}{\sqrt{a^2+p^2}}$ without using Laplace transform tables

Published on 02 Apr 2026 - 8:21

score 54 · Answer 4 · 2026-04-02 08:19:37

54

Views

Why is $\sum_{n\geq 0}\frac{(-1)^n}{4^n p^{2n+1}}\binom{2n}{n}=\frac{1}{p}\sum_{n\geq 0}\binom{-1/2}{n}\frac{1}{p^{2n}} $ true?

Published on 02 Apr 2026 - 8:19

score 230 · Answer 5 · 2026-03-25 17:39:21

230

Views

Evaluate an infinite series involving the polygamma function OR first derivative of the hurwitz zeta function

Published on 25 Mar 2026 - 17:39

score 104 · Answer 6 · 2026-04-12 10:22:49

104

Views

Polynomial of Trig Functions

Published on 12 Apr 2026 - 10:22

score 56 · Answer 7 · 2026-03-26 19:00:46

56

Views

$\frac{1}{r^2}$ potentials in a Hamiltonian, standard ODE's.

Published on 26 Mar 2026 - 19:00

score 90 · Answer 8 · 2017-08-30 02:48:29

90

Views

Reference request: $\{ (1-x^2)^n : n = 0,1,2,\ldots\}$ as a basis of the space of even polynomials

Published on 30 Aug 2017 - 2:48

score 108 · Answer 9 · 2017-08-31 00:56:57

108

Views

Hard Integral $\int\limits_0^1 \frac{\ln y\operatorname{Li}_2 (-y)}{1-y^2} \, dy$

Published on 31 Aug 2017 - 0:56

score 101 · Answer 10 · 2017-09-02 07:39:39

101

Views

Find a cut-off function ${\psi _\varepsilon }$ such that $x{\psi _\varepsilon }'\left( x \right)$ is bounded uniformly

Published on 02 Sep 2017 - 7:39

score 233 · Answer 11 · 2026-04-13 04:41:34

233

Views

zeros of $\wp (u)-\wp (w)$. (Weierstrass elliptic function)

Published on 13 Apr 2026 - 4:41

score 58 · Answer 12 · 2026-04-13 12:02:59

58

Views

What is the sum of the following series? Is it some extended Zeta function?

Published on 13 Apr 2026 - 12:02

score 141 · Answer 13 · 2026-04-12 03:25:29

141

Views

Why is the electric field of a naturally equilibrating, isotropic, cylindrical conductor not a function of z (height)?

Published on 12 Apr 2026 - 3:25

score 315 · Answer 14 · 2026-04-13 09:49:24

315

Views

Proving Gamma function relation

Published on 13 Apr 2026 - 9:49

score 469 · Answer 15 · 2026-04-13 00:48:02

469

Views

Contour for Meijer G-function

Published on 13 Apr 2026 - 0:48

List Question

asymptotic expansion of a series related to $\cosh(x)$

Show that $j_2(x)=(\frac{3}{x^3} - \frac{1}{x} )\sin(x) - \frac{3}{x^2} \cos(x)$

$\int_0^\infty J_0(ax)e^{-px} dx=\frac{1}{\sqrt{a^2+p^2}}$ without using Laplace transform tables

Why is $\sum_{n\geq 0}\frac{(-1)^n}{4^n p^{2n+1}}\binom{2n}{n}=\frac{1}{p}\sum_{n\geq 0}\binom{-1/2}{n}\frac{1}{p^{2n}} $ true?

Evaluate an infinite series involving the polygamma function OR first derivative of the hurwitz zeta function

Polynomial of Trig Functions

$\frac{1}{r^2}$ potentials in a Hamiltonian, standard ODE's.

Reference request: $\{ (1-x^2)^n : n = 0,1,2,\ldots\}$ as a basis of the space of even polynomials

Hard Integral $\int\limits_0^1 \frac{\ln y\operatorname{Li}_2 (-y)}{1-y^2} \, dy$

Find a cut-off function ${\psi _\varepsilon }$ such that $x{\psi _\varepsilon }'\left( x \right)$ is bounded uniformly

zeros of $\wp (u)-\wp (w)$. (Weierstrass elliptic function)

What is the sum of the following series? Is it some extended Zeta function?

Why is the electric field of a naturally equilibrating, isotropic, cylindrical conductor not a function of z (height)?

Proving Gamma function relation

Contour for Meijer G-function

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