Maestro13's user avatar
Maestro13's user avatar
Maestro13's user avatar
Maestro13
  • Member for 9 years, 10 months
  • Last seen more than a month ago
11 votes
Accepted

I need the proving of $x\log(x)=(\frac{x-1}{x})+\frac{3}{2!}(\frac{x-1}{x})^2+\frac{11}{3!}(\frac{x-1}{x})^3+...\frac{S_{n}}{n!}(\frac{x-1}{x})^n$

7 votes
Accepted

Proof: Legendre Polynomials Solving the Corresponding Differential Equation

7 votes
Accepted

Why do the Legendre Polynomials have these coefficients?

4 votes

Associated Legendre functions special values

4 votes
Accepted

Using gauss's lemma to find $(\frac{n}{p})$ (Legendre Symbol)

3 votes
Accepted

question about Laguerre polynomials

3 votes
Accepted

Series representation of $1/|x-x'|$ using legendre polynomials

3 votes

About the Legendre differential equation

3 votes

Legendre Polynomials: proofs $\int_{-1}^1P_n^2(x)dx=\frac{2}{(2n+1)}$

3 votes
Accepted

Choice of the First Term in Legendre Polynomials

3 votes

Deriving Rodrigues' formula

3 votes
Accepted

Integrating odd Legendre polynomials using generating function

3 votes

If $\sin x+\sin y+\sin z=2$, $\cos x+\cos y+\cos z=11/5$, $\tan x+\tan y+\tan z=17/6$, $x,y,z\in\mathbb{R},$ find $\sin(x+y+z)$ without a calculator

2 votes
Accepted

where is the mistake in my calculations of $\displaystyle \lim_{n \to \infty} \sum\limits_{k=1 }^n \frac{a_k}{(n+1-k)(n+2-k)}= \lim_{n\to \infty}a_n$

2 votes

Prime ideals in quadratic ring $\mathbb{Z}[\sqrt{-5}]$

2 votes
Accepted

Proof of "Induction proof method"

2 votes

What is the intuition behind the law of quadratic reciprocity?

2 votes

How to solve pell type equation

2 votes

If $e^2=e$, then $(e+(1-e)re)$ is an idempotent.

2 votes

$\mathbf{Z}[\sqrt{-3}]$ and its ideals $(2)$ and $(2,1+\sqrt{-3})$

2 votes

How to show that $2\times 10^{18}<20!<3 \times 10^{18}$ without calculator?

2 votes
Accepted

Equation of sphere through variable points and origin

2 votes

Legendre polynomials, Laguerre polynomials: Basic concept

2 votes

Using Legendre polynomial to approximate any polynomial

2 votes
Accepted

What does it mean for a solution to be regular (Legendre equation)?

1 vote
Accepted

Legendre polynomial to show identity, can't spot mistake

1 vote

Find pseudo-square mod $n$

1 vote
Accepted

When is $x^2 - 75 y^2 = 0$ in $\mathbb{Z}_p$ solvable?

1 vote

Expressing associated Legendre polynomials in terms of unassociated Legendre polynomials

1 vote

Express g's Fourier coefficients using f's ones, if $g(x)=f(x+c)$.