Let $C$ be a smooth curve in $\Bbb C$ and suppose that the sequence of continuous functions $f_n$ converges to $f$ uniformly on the curve $C$.
Show that $\int _C f_n(z) dz $ converges to $\int_C f(z) dz$.
Suppose that $f$ is a continuous function on a domain $\Omega $ in $\Bbb ...
I use this term to denote a set of numbers of the form $\sum z_n x^n$, where x is the solution of some polynomial $x^a=\sum z_ix^i$ for i=o to n-1.
Is there a standard term for it.
Let $C$ be a smooth curve in $\Bbb C$ and suppose that the sequence of continuous functions $f_n$ converges to $f$ uniformly on the curve $C$.
Show that $\int _C f_n(z) dz $ converges to $\int_C f(z) dz$.
Suppose that $f$ is a continuous function on a domain $\Omega $ in $\Bbb ...
I use this term to denote a set of numbers of the form $\sum z_n x^n$, where x is the solution of some polynomial $x^a=\sum z_ix^i$ for i=o to n-1.
Is there a standard term for it.
