Complex Analysis #9 (Imp.) | Harmonic Function | Relation Between Analytic and Harmonic Function

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This Videos lecture will cover
1. Understanding Harmonic Function.
2. Understanding the Relation Between Analytic Function and Harmonic Function.

Check the Complete Playlists on the Topics

1. Matrix & its Applications
2. Differential Calculus
3. Partial Differentiation
4. Multiple Integral & its Applications
5. Vector Calculus
6. Ordinary Differential Equations
7. Partial Differential Equations & its Applications
8. Laplace Transform & Its applications
9. Fourier Series & Transform
10. Probability
11. Complex Analysis

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#HarmonicFunction #RelationBetweenAnalyticAndHarmonicFunctions

[mohitdirect]

Hi Dr Goyal. The explanation of topics like complex numbers is very thorough and easy to grasp. I have been out of practice with the concepts of engineering mathematics. I am 31 years and it feels very easy to remember and practice concepts of various topics of engg mathematics after such a long break.

Thank you so much. Students will definitely benefit from your approach.

[nitinvats]

This is best explanation on analytic fxn in utube thanks sir for this superb lecture series

[hr]

Think about those students who likes your teaching method and ur videos

[uvaiskhan]

Thank you so much sir
Sir Aap bahoot accha samjhate hai🤗

[SyedaHamdani-hj]

U r just awesome plz keep making videos on this subject... Best way of delivering lecture

[randheeropedia]

Or bahut saara video ispe u tube pai hai sir..but sir aap jab padhaate ho sir ....man khush ho jaata hai

[arkodasgupta]

11:43 You can't strictly say order of partial derivatives don't matter. for a function f, if f_x, f_y, f_xy, f_yx are defined throughout an open region and all are continuous, then only f_xy = f_yx. Otherwise, it isn't. However, in this case f_xy = f_yx as f is analytic so, its partial components and partial(partial components) are continous in its domain D

[divakarvinit]

I came here after so much of surfing on internet, , sir you are too good !! thanks .

[Addict]

Just 1 Word Immatchable, thanks a lot sir

[singhdipak]

Sir it's osm.
Please continue it in future 🙏

[shivanshvats]

Apka hardwork kam ara hai thank u ham bacho ki taraf se pleej keep uploading

[sitoothakur]

Really very helpfull your video and very easy to way your explanation 🙏🙏

[kristifrroku]

When is the part to indicate the function of z or w = f(z) = u(x, y) + iv(x, y) when u and v are replaced, from where u is given or v is given.
This is based in Csh.- Ryman Theorem where the other component of complex function is equivalent with the integral of the partial differential of given component in the dependence of the x or y differential partial, multiplied with the differential of the component
(x or y) of u or v plus a function
phi(x or y).

[AyanShaikh-zjuf]

Sir also upload the transform (Fourier, Laplace and Z) playlist in complex analysis

[dhananjaytudu]

Sir u, v both harmonic imply f is harmonic??

[sumitverma]

sir please comple laplace series all topics .🙏🙏🙏🙏

[Raaj]

plz Sir charpit method bhi krva dijiye

[poojarawat]

sir when will u start the transformation ???

[that_nitish]

How's the derivative of Y^3 is 0.??