Liouville's Theorem| Liouville theorem complex analysis| Detailed Proof| Theta Classes

  Рет қаралды 6,563

Theta Classes

Theta Classes

Жыл бұрын

In this lecture we are going to study about Liouville Theorem and we will also going to discuss its detailed proof. Before that we will first going to understand about Bounded function and then we see a statement of Liouville theorem. After that we will prove Liouville's theorem in a detailed way using results which we had discussed so far.
While proving we used Cauchy's Integral formula and if any student wants to know more about this go through this link:
• Complex Integration| C...
In case if any student finds any difficulty in understanding this lecture do mention it in comment section.
Keep connected with ‪@thetaclasses‬ to study various topics of higher mathematics.
Thank You.

Пікірлер: 17
@anitameena8188
@anitameena8188 Жыл бұрын
Very happy hu sir smjj aagya mere bhot understanding full class h sir thanks for the help
@hassanrazabashir4284
@hassanrazabashir4284 Жыл бұрын
Fourier transform or Weiner hopf technique pr video bnao or wo bi level ki with example
@thetaclasses
@thetaclasses Жыл бұрын
Okay but it will take time
@akarshroy3905
@akarshroy3905 Жыл бұрын
@lutfashaikh7899
@lutfashaikh7899 Жыл бұрын
Sir maximal ideals k upar video upload kariye na sir.. 🙂
@thetaclasses
@thetaclasses Жыл бұрын
Okay after group i will start ring
@nikhilprajapati722
@nikhilprajapati722 Жыл бұрын
sir conformal transformation ka video upload KR do sir plz 🙏🙏🏼🙏🏼🙏🏼🙏🏼🙏🙏🙏🏼
@thetaclasses
@thetaclasses Жыл бұрын
okay in February i will start conformal
@archananaik2767
@archananaik2767 Жыл бұрын
Sir why we considerwd R to be infinite?
@thetaclasses
@thetaclasses Жыл бұрын
Since we had considered entire function its radius of convergence is infinite
@archananaik2767
@archananaik2767 Жыл бұрын
@@thetaclasses thank you sir
@luckyvarshney9387
@luckyvarshney9387 Жыл бұрын
Sir why you take Z=Re^i theta d theta ???????
@thetaclasses
@thetaclasses Жыл бұрын
Actually I had written z in polar form i.e. z=R*e^i(theta) I had mentioned in the lecture also to avoid d(theta) which is written later
@luckyvarshney9387
@luckyvarshney9387 Жыл бұрын
@@thetaclasses thnk u sir
@hassanrazabashir4284
@hassanrazabashir4284 Жыл бұрын
Y topic difficult hn mgr conceptual hn
@touqeerfarooq
@touqeerfarooq Жыл бұрын
sir please 20 din baad exams hain ... kara lo vector spaces sir..... please sir request haiii 🥺🥺🥺🥺
@thetaclasses
@thetaclasses Жыл бұрын
It is difficult to cover vector space within 20 days and before starting I also want to clear basic definition of abelian group and field
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