Interesting sum identity

Interesting sum identity

Postby ognjenmi » Sun Jun 24, 2018 2:24 pm

Hi,

I am trying to prove following identity. I obviously can't see something here.

[tex]\sum_{k=1}^{n}(\frac{\prod_{1\leq r\leq n-1}(y_k-z_r)}{\prod_{1\leq r\leq n, r\neq k}(y_k-y_r)})=1[/tex]

Where [tex]y_1,y_2,...,y_n[/tex] are all different.

Any hints?

Regards,
Ognjen
ognjenmi
 
Posts: 3
Joined: Sun Jun 24, 2018 2:11 pm
Reputation: 1

Re: Interesting sum identity

Postby Guest » Sun Jun 24, 2018 3:04 pm

What about [tex]z_r[/tex]
Guest
 

Re: Interesting sum identity

Postby ognjenmi » Mon Jun 25, 2018 2:55 pm

[tex]z_r, 1\le r \le n-1[/tex] is any number.

ognjenmi
 
Posts: 3
Joined: Sun Jun 24, 2018 2:11 pm
Reputation: 1


Return to Polynomials, Polynomial Identities



Who is online

Users browsing this forum: No registered users and 2 guests