Question

Find the error in $\displaystyle\sum_{k=0}^{\infty}\frac{a^k}{p(k)}$ where $|a|< 1$ and $p(z)$ is a polynomial

score 54 · Answer 1 · 2023-12-29 18:43:30

54

Views

Find the error in $\displaystyle\sum_{k=0}^{\infty}\frac{a^k}{p(k)}$ where $|a|< 1$ and $p(z)$ is a polynomial

Published on 29 Dec 2023 - 18:43

score 40 · Answer 2 · 2026-03-26 17:37:34

40

Views

Given $\operatorname E(x,2)=a\implies x=f(a)$, what is the solution for $\operatorname E(x,2)=ia$ with elliptic integral of the second kind?

Published on 26 Mar 2026 - 17:37

score 801 · Answer 3 · 2024-01-01 05:56:27

801

Views

Finding the value of $\beta(5)$ via a definite integral

Published on 01 Jan 2024 - 5:56

score 113 · Answer 4 · 2024-01-02 16:27:12

113

Views

positively homogeneous function that differentiable at $0^k$

Published on 02 Jan 2024 - 16:27

score 72 · Answer 5 · 2024-01-03 23:58:58

72

Views

Integral involving Bessel function, exponential, and power

Published on 03 Jan 2024 - 23:58

score 18 · Answer 6 · 2026-03-29 12:11:19

18

Views

Where are the non-real zero's of this Zeta like function $\prod_p \dfrac{1}{1 - p^{-s}} + \prod_q \dfrac{1}{1 - q^{-s}} $?

Published on 29 Mar 2026 - 12:11

score 53 · Answer 7 · 2026-03-27 00:09:36

53

Views

Transformation from Hypergeometric to Whittaker.

Published on 27 Mar 2026 - 0:09

score 634 · Answer 8 · 2024-01-12 04:54:32

634

Views

Computing $\int _0^{\infty }e^{-b x} x^{b-1} \log \left((1-a x)^2\right)dx$ or $ \mathbb E \log\left[(c- \chi^2_{2b} )^2\right]$

Published on 12 Jan 2024 - 4:54

score 198 · Answer 9 · 2026-04-04 00:13:37

198

Views

Proving the Gamma function is analytic over the positive reals without invoking complex analysis

Published on 04 Apr 2026 - 0:13

score 153 · Answer 10 · 2026-04-04 00:13:35

153

Views

Evaluate the improper integral $\int_{0}^{\infty} x^{\alpha}e^{-\beta x}\ln(1+x)\,\mathrm dx$

Published on 04 Apr 2026 - 0:13

score 69 · Answer 11 · 2024-01-20 09:22:49

69

Views

Confusion about two branches of Lambert $W$ function

Published on 20 Jan 2024 - 9:22

score 44 · Answer 12 · 2026-03-30 16:41:43

44

Views

Solve Convoluted Integral with Gauss Hypergeometric function

Published on 30 Mar 2026 - 16:41

score 159 · Answer 13 · 2026-03-26 16:07:06

159

Views

Area enclosed by the closed loop of an elliptic curve $y^2 = x^3 + a x + b$

Published on 26 Mar 2026 - 16:07

score 44 · Answer 14 · 2026-03-31 10:02:48

44

Views

Relationship between the first zeroes of Bessel functions.

Published on 31 Mar 2026 - 10:02

score 51 · Answer 15 · 2026-03-31 07:27:37

51

Views

Bessel functions

Published on 31 Mar 2026 - 7:27

List Question

Find the error in $\displaystyle\sum_{k=0}^{\infty}\frac{a^k}{p(k)}$ where $|a|< 1$ and $p(z)$ is a polynomial

Given $\operatorname E(x,2)=a\implies x=f(a)$, what is the solution for $\operatorname E(x,2)=ia$ with elliptic integral of the second kind?

Finding the value of $\beta(5)$ via a definite integral

positively homogeneous function that differentiable at $0^k$

Integral involving Bessel function, exponential, and power

Where are the non-real zero's of this Zeta like function $\prod_p \dfrac{1}{1 - p^{-s}} + \prod_q \dfrac{1}{1 - q^{-s}} $?

Transformation from Hypergeometric to Whittaker.

Computing $\int _0^{\infty }e^{-b x} x^{b-1} \log \left((1-a x)^2\right)dx$ or $ \mathbb E \log\left[(c- \chi^2_{2b} )^2\right]$

Proving the Gamma function is analytic over the positive reals without invoking complex analysis

Evaluate the improper integral $\int_{0}^{\infty} x^{\alpha}e^{-\beta x}\ln(1+x)\,\mathrm dx$

Confusion about two branches of Lambert $W$ function

Solve Convoluted Integral with Gauss Hypergeometric function

Area enclosed by the closed loop of an elliptic curve $y^2 = x^3 + a x + b$

Relationship between the first zeroes of Bessel functions.

Bessel functions

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