Abstract
The vertical half, horizontal half and skew half of a Riordan array D=(dn,k)n,k∈N have been deeply studied by Yang, He, Barry and others. In this paper, we concentrate on using compression to study various halves of generalized Riordan arrays, such as double Riordan arrays, j-th order Riordan arrays. As applications, in the various halves of 3-dimensional Riordan array cases, we derive some identities related to the classical sequences such as Fibonacci, Pell, Pell-Lucas, Jacobsthal-Lucas and Jacobsthal numbers.
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