International Conference on
نویسندگان
چکیده
The Hankel transform of an integer sequence (an) is defined as a sequence formed by the determinants of the matrices An, where An is the upper-left submatrix of size n× n of the Hankel matrix A = a0 a1 a2 a3 · · · a1 a2 a3 a4 · · · a2 a3 a4 a5 · · · .. .. .. .. . . . . In this talk, methods in deriving the Hankel transform of Bell and other Bell-type numbers will be discussed, particularly, in using Layman’s Theorem on the invariance of Hankel transform under binomial transform. Moreover, the Hankel transform of the q-analogue of noncentral Bell numbers will be derived using Spivey-Steil’s Theorem on the Hankel transform of rising k-binomial transforms.
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