偽解析函數(Pseudoanalytic function)是美國數學家Lipman Bers英语Lipman Bers在1950年至1956年提出的一種广义解析函数[1][2][3][4] ,可以滿足較弱型式的柯西-黎曼方程。而美國數學家阿貝·吉爾巴特英语Abe Gelbart也和Lipman Bers建立了流體動力學上的偽解析函數理論[5][6][7]

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参考文献编辑

  1. ^ Bers, Lipman, Partial differential equations and generalized analytic functions (pdf), Proceedings of the National Academy of Sciences of the United States of America, 1950, 36: 130–136, ISSN 0027-8424, JSTOR 88348, MR 0036852, PMC 1063147, PMID 16588958, doi:10.1073/pnas.36.2.130 
  2. ^ Bers, Lipman, Partial differential equations and generalized analytic functions. Second Note (pdf), Proceedings of the National Academy of Sciences of the United States of America, 1951, 37: 42–47, ISSN 0027-8424, JSTOR 88213, MR 0044006, PMC 1063297, PMID 16588987, doi:10.1073/pnas.37.1.42 
  3. ^ Bers, Lipman, Theory of pseudo-analytic functions, Institute for Mathematics and Mechanics, New York University, New York, 1953, MR 0057347 
  4. ^ Bers, Lipman, An outline of the theory of pseudoanalytic functions (pdf), Bulletin of the American Mathematical Society, 1956, 62: 291–331, ISSN 0002-9904, MR 0081936, doi:10.1090/s0002-9904-1956-10037-2 
  5. ^ Abraham Gelbart, Mathematician, 82, New York Times, September 12, 1994 .
  6. ^ Jackson, Allyn, Mathematics People: Abraham Gelbart 1911–1994 (PDF), Notices of the AMS, January 1995, 42 (1): 59 .
  7. ^ Abikoff, William, Remembering Lipman Bers: Lipman Bers (PDF), Notices of the AMS, January 1995, 42 (1): 8–18 .