A Problem of Robinson

نویسندگان

  • P. R. GARABEDIAN
  • R. M. Robinson
چکیده

We propose to prove in this paper a conjecture of R. M. Robinson which generalizes to domains of connectivity w ^ 3 a result which he proved [3] for doubly-connected domains. Let D be a finite domain of the s-plane bounded by n^2 simple, closed, disjoint analytic curves, &, • • • , Cn, whose sum we denote by C. Let z0 be a point of D. We consider the class 0 of functions F(z) in D with a t most one simple pole

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تاریخ انتشار 2007