Some Theorems and Applications of the (q,r)-Whitney Numbers
Mahid M. Mangontarum
Department of Mathematics
Mindanao State University—Main Campus
Marawi City 9700
numbers were recently defined in terms of the q-Boson
operators, and several combinatorial properties which appear to be
q-analogues of similar properties were studied. In this paper, we
obtain elementary and complete symmetric polynomial forms for the
and give combinatorial interpretations in the
context of A-tableaux. We also obtain convolution-type identities using
the combinatorics of A-tableaux.
Lastly, we present applications and
theorems related to discrete q-distributions.
Full version: pdf,
(Concerned with sequences
Received August 16 2016; revised versions received November 20 2016;
November 21 2016. Published in Journal of Integer Sequences,
December 27 2016.
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