Complex Analysis 5: Holomorphic Functions - 3

We point out the mistake in the second example of the last session and show how to modify the argument to get a correct proof. We also indicate a second solution to the problem.

We end of the session with a function which is defined by a Cauchy-type integral and show that it is holomorphic outside the domain of the integral. This example is very instructive and inspiring in a simple setting. It is never given in a typical course. But you will see that this gets you into the `real' complex analysis!

Timestamp provided by Ishwarya.
00:00 Introduction
0:43 Importance of reviewing the proofs
2:28 Discussion about the subtle points & correction of the application solved in the previous session
22:19 Another Proof of the above application
31:19 Summary
33:10 Example- Simplest Cauchy type Integral
49:15 Conclusion

[falgunimahata]

I think it will be g^n(a) instead of f^n(a)