Toronto Math Forum

MAT334-2018F => MAT334--Tests => Quiz-5 => Topic started by: Victor Ivrii on November 02, 2018, 03:32:06 PM

Title: Q5 TUT 0301
Post 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
power-series expansion for the function by using the known power series for
the integrand and interchanging the summation and integration.
$$
\int_{0}^{1} \frac{dt}{1-tz}\qquad\text{on}\; |z|<1.
$$

Title: Re: Q5 TUT 0301
Post by: Meerna Habeeb on November 02, 2018, 08:46:46 PM

See answer attached