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:
See answer attached

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