I have encountered some note on complex analysis:
In particular, given a polynomial in the real variables x and y , with
complex coefficients, these properties tell us that the polynomial
is analytic on C precisely when, in its representation as a linear
combination of terms $z^{j} \overline{z}^{j}$ , terms involving $ \overline{z}^{}$ do not occur.
what does it mean?Could you give me some formulas?
2026-03-26 12:37:31.1774528651
Why is a polynomial in $z,\bar z$ analytic iff it does not involve monomials $z^i\bar z^j$ with $j\ge1$?
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