Toronto Math Forum
MAT3342018F => MAT334Tests => Quiz5 => Topic started by: Victor Ivrii on November 02, 2018, 03:32:06 PM

Use Morera's Theorem to show
that the following function is analytic on the indicated domain; find a
powerseries expansion for the function by using the known power series for
the integrand and interchanging the summation and integration.
$$
\int_{0}^{1} \frac{dt}{1tz}\qquad\text{on}\; z<1.
$$

See answer attached