• 제목/요약/키워드: A-tabluea

검색결과 1건 처리시간 0.015초

AN ALTERNATIVE q-ANALOGUE OF THE RUCINSKI-VOIGT NUMBERS

  • Bent-Usman, Wardah M.;Dibagulun, Amerah M.;Mangontarum, Mahid M.;Montero, Charles B.
    • 대한수학회논문집
    • /
    • 제33권4호
    • /
    • pp.1055-1073
    • /
    • 2018
  • In this paper, we define an alternative q-analogue of the $Ruci{\acute{n}}ski$-Voigt numbers. We obtain fundamental combinatorial properties such as recurrence relations, generating functions and explicit formulas which are shown to be q-deformations of similar properties for the $Ruci{\acute{n}}ski$-Voigt numbers, and are generalizations of the results obtained by other authors. A combinatorial interpretation in the context of A-tableaux is also given where convolution-type identities are consequently obtained. Lastly, we establish the matrix decompositions of the $Ruci{\acute{n}}ski$-Voigt and the q-$Ruci{\acute{n}}ski$-Voigt numbers.