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词条 Pseudoanalytic function
释义

  1. See also

  2. References

In mathematics, pseudoanalytic functions are functions introduced by {{harvs|txt|first=Lipman|last=Bers|authorlink=Lipman Bers|year1=1950|year2=1951|year3=1953|year4=1956}} that generalize analytic functions and satisfy a weakened form of the Cauchy–Riemann equations.

See also

  • Quasiconformal mapping

References

  • {{Citation | last1=Bers | first1=Lipman | title=Partial differential equations and generalized analytic functions | jstor=88348 | mr=0036852 |url=http://www.pnas.org/content/36/2/130.full.pdf | format=pdf | pmc=1063147 | year=1950 | journal=Proceedings of the National Academy of Sciences of the United States of America | issn=0027-8424 | volume=36 | pages=130–136 | doi=10.1073/pnas.36.2.130 | pmid=16588958}}
  • {{Citation | last1=Bers | first1=Lipman | title=Partial differential equations and generalized analytic functions. Second Note | jstor=88213 | mr=0044006 |url=http://www.pnas.org/content/37/1/42.full.pdf | format=pdf |pmc=1063297 | year=1951 | journal=Proceedings of the National Academy of Sciences of the United States of America | issn=0027-8424 | volume=37 | pages=42–47 | doi=10.1073/pnas.37.1.42 | pmid=16588987}}
  • {{Citation | last1=Bers | first1=Lipman | title=Theory of pseudo-analytic functions | url=https://books.google.com/books?id=79dWAAAAMAAJ | publisher=Institute for Mathematics and Mechanics, New York University, New York | mr=0057347 | year=1953}}
  • {{Citation | last1=Bers | first1=Lipman | title=An outline of the theory of pseudoanalytic functions | url=http://www.ams.org/journals/bull/1956-62-04/S0002-9904-1956-10037-2/S0002-9904-1956-10037-2.pdf | format=pdf | mr=0081936 | year=1956 | journal=Bulletin of the American Mathematical Society | issn=0002-9904 | volume=62 | pages=291–331 | doi=10.1090/s0002-9904-1956-10037-2}}

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3 : Complex analysis|Partial differential equations|Types of functions

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