In mathematics, pseudoanalytic functions are functions introduced by Lipman Bers (1950, 1951, 1953, 1956) that generalize analytic functions and satisfy a weakened form of the Cauchy–Riemann equations. == Definitions == Let z = x + i y {\displaystyle z=x+iy} and let σ ( x , y ) = σ ( z ) {\displaystyle \sigma (x,y)=\sigma (z)} be a real-valued function defined in a bounded domain D {\displaystyle D} .
In mathematics, pseudoanalytic functions are functions introduced by Lipman Bers (1950, 1951, 1953, 1956) that generalize analytic functions and satisfy a weakened form of the Cauchy–Riemann equations. == Definitions == Let z = x + i y {\displaystyle z=x+iy} and let σ ( x , y ) = σ ( z ) {\displaystyle \sigma (x,y)=\sigma (z)} be a real-valued function defined in a bounded domain D {\displaystyle D} .
Source: Wikipedia "Pseudoanalytic function" · CC BY-SA 4.0
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