On Determinants of Alternate Numbers
نویسندگان
چکیده
منابع مشابه
Determinants involving q-Stirling numbers
Let S[i, j ] denote the q-Stirling numbers of the second kind. We show that the determinant of the matrix (S[s + i+ j, s + j ])0 i,j n is given by the product q( s+n+1 3 )−( 3) · [s]0 · [s+ 1]1 · · · [s+n]n. We give two proofs of this result, one bijective and one based upon factoring the matrix. We also prove an identity due to Cigler that expresses the Hankel determinant of q-exponential poly...
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ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 1875
ISSN: 0024-6115
DOI: 10.1112/plms/s1-7.1.100