Catalan transform of the incomplete Jacobsthal numbers and incomplete generalized Jacobsthal polynomials
Abstract
We introduce the Catalan transform of the Incomplete Jacobsthal numbers. We apply the Hankel transform to the Catalan transforms of these numbers. We calculate determinants of matrixes formed with CJlk,nby using Hankel transform. Then we define the incomplete h(x)-Jacobsthal polynomials. Then we examine the recurrence relation and some properties of these polynomials.
Communicated by Jörg Koppitz
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