Generating Functions Attached to some Infinite Matrices
نویسندگان
چکیده
منابع مشابه
Generating Functions Attached to some Infinite Matrices
Let V be an infinite matrix with rows and columns indexed by the positive integers, and entries in a field F . Suppose that vi,j only depends on i − j and is 0 for |i − j| large. Then V n is defined for all n, and one has a “generating function” G = ∑ a1,1(V )z. Ira Gessel has shown that G is algebraic over F (z). We extend his result, allowing vi,j for fixed i − j to be eventually periodic in ...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2011
ISSN: 1077-8926
DOI: 10.37236/492