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Pseudoanalytic function

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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.

References

  • Bers, Lipman (1950), "Partial differential equations and generalized analytic functions", Proceedings of the National Academy of Sciences of the United States of America, 36: 130–136, ISSN 0027-8424, MR0036852
  • Bers, Lipman (1951), "Partial differential equations and generalized analytic functions. II", Proceedings of the National Academy of Sciences of the United States of America, 37: 42–47, ISSN 0027-8424, MR0044006
  • Bers, Lipman (1953), Theory of pseudo-analytic functions, Institute for Mathematics and Mechanics, New York University, New York, MR0057347
  • Bers, Lipman (1956), "An outline of the theory of pseudoanalytic functions", Bulletin of the American Mathematical Society, 62: 291–331, ISSN 0002-9904, MR0081936–
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