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An outline of the theory of pseudoanalytic functions

An outline of the theory of pseudoanalytic functions

LIPMAN BERS1. Introduction.Pseudoanalytic functions are, roughly speaking, solutions of generalized Cauchy-Riemann equations.Such functions were considered by Picard [67; 68] and by Beltrami [3;4], but the first significant result was obtained by Carleman [28] in 1933, and a systematic theory was formulated only recently.No comprehensive account is available in print and …