Example 1.10- Let E be any bounded closed set in the complex plane containing an infinite number of points, and let M₁ b

[answerhappygod]

Example 1 10 Let E Be Any Bounded Closed Set In The Complex Plane Containing An Infinite Number Of Points And Let M B 1 (41.14 KiB) Viewed 23 times

Example 1.10- Let E be any bounded closed set in the complex plane containing an infinite number of points, and let M₁ be the maximum of |V(x₁,...,xn) as the points X1, ..., xn run through the set E, where V(x₁,...,xn) = (x − xj) - I<i<j<n is the Vandermonde determinant. Show that M This is due to Fekete (1923) and the limit T(E)= lim M2 'n 11-0 2/(n(n-1)) 2/(n(n-1)) converges as n → ∞o.