偽解析函數
偽解析函數（Pseudoanalytic function）是美國數學家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
- ^ 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
- ^ 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
- ^ Bers, Lipman, Theory of pseudo-analytic functions, Institute for Mathematics and Mechanics, New York University, New York, 1953, MR 0057347
- ^ Bers, Lipman, An outline of the theory of pseudoanalytic functions (pdf), Bulletin of the American Mathematical Society, 1956, 62: 291–331 [2017-01-29], ISSN 0002-9904, MR 0081936, doi:10.1090/s0002-9904-1956-10037-2, （原始内容存档 (PDF)于2017-08-15）
- ^ Abraham Gelbart, Mathematician, 82, New York Times, September 12, 1994 [2017-01-29], （原始内容存档于2017-10-19）.
- ^ Jackson, Allyn, Mathematics People: Abraham Gelbart 1911–1994 (PDF), Notices of the AMS, January 1995, 42 (1): 59 [2017-01-29], （原始内容存档 (PDF)于2020-07-21）.
- ^ Abikoff, William, Remembering Lipman Bers: Lipman Bers (PDF), Notices of the AMS, January 1995, 42 (1): 8–18 [2017-01-29], （原始内容存档 (PDF)于2020-02-07）.
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