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- W1650143399 abstract "We consider a system of birational functional equations (BFEs) (or finite-difference equations at w=m in Z) for functions y(w) of the form: y(w+1)=F_n(y(w)), y(w):C to C^N, n=deg(F_n(y)), F_n in (bf Bir}(C^N), where the map F_n is a given birational one of the group of all automorphisms of C^N to C^N. The relation of the BFEs with ordinary differential equations is discussed. We present a general solution of the above BFEs for n=1,forall N and of the ones with the map F_n birationally equivalent to F_1: F_nequiv Vcomp F_1comp V^{-1}, forall V in (bf Bir}(C^N)." @default.
- W1650143399 created "2016-06-24" @default.
- W1650143399 creator A5029496404 @default.
- W1650143399 date "2008-12-07" @default.
- W1650143399 modified "2023-09-27" @default.
- W1650143399 title "General solution of functional equations defined by generic linear-fractional mappings F_1: C^N to C^N and by generic maps birationally equivalent to F_1" @default.
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