Weizmann Logo
ECCC
Electronic Colloquium on Computational Complexity

Under the auspices of the Computational Complexity Foundation (CCF)

Login | Register | Classic Style



REPORTS > DETAIL:

Paper:

TR01-004 | 13th October 2000 00:00

Recursive analytic functions of a complex variable

RSS-Feed




TR01-004
Authors: Tobias Gärtner, Günter Hotz
Publication: 9th January 2001 09:05
Downloads: 1138
Keywords: 


Abstract:

We extend the concept of recursive definition on analytic functions. For special cases of linear primitive recursive definitions we show the existence of natural continuations of the over $\N$ primitive recursive functions to analytic functions. Especially, we show that solutions exist if the coefficients of the linear recursive equation are rational functions. We also give criteria which lead to a unique continuation of a primitive recursive function.



ISSN 1433-8092 | Imprint