Lu Jian-ke. Some Lemmas on Doubly Quasi-Periodic Analytic Functions in Multiplication[J]. Applied Mathematics and Mechanics, 1986, 7(7): 583-587.
Citation: Lu Jian-ke. Some Lemmas on Doubly Quasi-Periodic Analytic Functions in Multiplication[J]. Applied Mathematics and Mechanics, 1986, 7(7): 583-587.

Some Lemmas on Doubly Quasi-Periodic Analytic Functions in Multiplication

  • Received Date: 1985-09-25
  • Publish Date: 1986-07-15
  • In this paper, some lemmas on doubly quasi-periodic analytic functions in multiplication are proved. Suchfunctions may not be identical to zero even if their real parts vanish on the boundary. Conditions for in which this case appears is also obtained. A concrete example is given to show that this case actually exists. Finally, the general solution of the considered Dirichlet problem of doubly quasi-periodic analytic functions with zero real parts on the boundary is obtained, provided the multipliers are not prescribed.
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    路见可,双周期解析函数的Dirichlet问题,数学物理学报,4,1(1984),9-16.
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    路见可,关于双准周期解析函数的Dirichlet问题,数学物理学报,5,2.(1985).
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    路见可,推广的留数定理及其应用,武汉大学学报(自然科学版),3(1978),1-8.
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