Pseudoanalytic function

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.

See also

• Quasiconformal mapping

References

• Bers, Lipman (1950), "Partial differential equations and generalized analytic functions" (pdf), Proceedings of the National Academy of Sciences of the United States of America, 36: 130–136, doi:10.1073/pnas.36.2.130, ISSN 0027-8424, JSTOR 88348, MR 0036852, PMC 1063147, PMID 16588958
• Bers, Lipman (1951), "Partial differential equations and generalized analytic functions. Second Note" (pdf), Proceedings of the National Academy of Sciences of the United States of America, 37: 42–47, doi:10.1073/pnas.37.1.42, ISSN 0027-8424, JSTOR 88213, MR 0044006, PMC 1063297, PMID 16588987
• Bers, Lipman (1953), Theory of pseudo-analytic functions, Institute for Mathematics and Mechanics, New York University, New York, MR 0057347
• Bers, Lipman (1956), "An outline of the theory of pseudoanalytic functions" (pdf), Bulletin of the American Mathematical Society, 62: 291–331, doi:10.1090/s0002-9904-1956-10037-2, ISSN 0002-9904, MR 0081936

–