Harmonic Functions & Conjugate Harmonic Functions with 4 Questions

In this video we will discuss:
1. Harmonic Functions @ 00:24 min.
2. If f(z) is Analytic Function then u & v both are Harmonic Function (PROOF) @ 01:34 min.
3. Conjugate Harmonic Function/Conjugate Function @ 06:06 min.
4. Four different Questions :
Q. Prove that the following functions are harmonic & obtain their conjugate function-
(a) u(x,y) = 2x(1-y) @ 08:55 min.
(b) u(x,y) = y3 - 3x2y @ 13:55 min.
(c) u(x,y) = 1/2 log(x2+y2) @ 19:45 min.
(d) u(x,y) = x3 - 3xy2 + 3x2 - 3y2 + 1 @ 26:21 min.

Watch Also:
Cauchy-Riemann equations (c-r equations)...necessary condition for analytic function
Sufficient Condition for a Function to be Analytic with proof

PLAYLISTS LINK :
1. Cauchy integral formula and proof
2. Maxima & Minima (Extreme Values)
3. ε-δ Definition of Limit
4. BSc Mathematics
5. Conformal Mapping

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#HarmonicFunction

[d-kamal]

100 saal jio sir... Kya excellent fine explation.... Actually aise teacher mile na toh padhne me ruchi aur jyada ho jata hai... Thank you n its really helpfull

[suryanshsrivastava_]

I have been struggling on conjugate part for last few days but you just made it way simple for me. And because of you i got good marks in my end Sem in just 3 days lf your videos. You are great sir🔥🔥🔥. Nobody is close to you in the way of teaching.

Og sir👑👑👑

[midmid]

extra ordinary don't even speak Hindi still each and every word was clear ....Hats off to you Man

[shikharshaily]

if you are reading this comment before watching this video than go for it . it will surely clear all your doubts, everything is clearly defined, specially that integration part, thank you sir ..

[meghnabharti]

I have taken maths as my subject because I love doing it but sometimes there are questions which are easy to slove but you won't get exact logic to do. So whenever I study I prefer to slove it step by step without skiping anything. Whenever I asked other people to slove questions they skip some parts and after completing the question, you got it. Now don't ask any other thing. Whenever I watch your vedios I got its every step. Thank you sir for your hard work and teaching each and every step even though you repeat 10 times in a single question.#thankyou sir 😊

[ManasSarkar-cprk]

Absolutely struggling with lengthy video, here it is crips and simple and to the point, This is absolutely compact. Sir, please keep posting more videos on Complex analysis topic.

[divyasingh]

Better than any other teacher available on youTube▶️

[anitalayal]

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[vishalpawal]

sir you are the best math teacher
this is my first lec it was amazing
keep it up sir👍👍👍👍👍

[itsallaboutbeautyandfashionB]

Sir bht dino k bad mujhe aj itne ache se samjh aaya srf apki isi video ki wjh se Thanku sir jj

[mamatayadav]

Thanks sir
Sir, aap bahut hi sarahniy yogya hai
Kauki YouTube pr etana Accha abhi tak koi nhi padhaya hai complex analysis
Maine bahut sari video dekhi

[pritamsingh]

The way of your teaching is very simple that anyone can understand it easily.

[jainshikhar]

Sir aap jaise teacher se padhne ka mauka mila usse hi jeevan dhanya ho gya🙏you are really ka great teacher.🙏

[divya_singh_]

Thanks sir🙏 iss lockdown me maine aapke lecture's. dekhe, aur really wo bahut clear and perfect understable

[Aizen.]

I couldn't solve integration part before but after seeing ur videos I am done❤️❤️

[jayjain]

best you tube maths videos. that is a big deal since most youtube maths professors are good but these videos are by far the best

[aqsaqainaat]

Sir ji boht achaa smjhaty ap...achy sy smhh bhi a jta
Thanku

[SSRShows]

Just awesome Sir 👍🙏...
No words to say... awesome teaching.. understanding... everything just awesome 👍🙏

[adharsh]

A wonderful presentation sir. I would like to watch ur videos. It is very clear.

[anilkumarsah]

Aap ne bahut achha samjhaye....A lot of thanks