Is there any relation in Analytic Function and Conservative Field?

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Gajanan Dhanorkar

Yes. Analytic Function in simply connected closed domain behaves like Conservative Functions.

Aly R. Seadawy

Dear Gajanan

Yes

In the complex analysis

Vikash Pandey

Yes, it is called Cauchy–Riemann equations. See, https://en.wikipedia.org/wiki/Cauchy%E2%80%93Riemann_equations

Anil Hiwarekar

Yes it is true.