Functions on discrete sets holomorphic in the sense of Isaacs, or monodiffric functions of the first kind
نویسنده
چکیده
We study discrete analogues of holomorphic functions of one and two variables, especially those that were called monodiffric functions of the first kind by Rufus Isaacs. Discrete analogues of the Cauchy–Riemann operators, domains of holomorphy in one discrete variable, and the Hartogs phenomenon in two discrete variables are investigated.
منابع مشابه
Functions on discrete sets holomorphic in the sense of Ferrand, or monodiffric functions of the second kind
We study the class of functions called monodiffric of the second kind by Rufus Philip Isaacs. They are discrete analogues of holomorphic functions of one or two complex variables. Discrete analogues of the Cauchy–Riemann operator, of domains of holomorphy in one discrete variable, and of the Hartogs phenomenon in two discrete variables are investigated. Two fundamental solutions to the discrete...
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