MAT334-2018F > Quiz-5

Q5 TUT 0301

(1/1)

Victor Ivrii:
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.
$$\int_{0}^{1} \frac{dt}{1-tz}\qquad\text{on}\; |z|<1.$$

Meerna Habeeb: