Linear Recurrences for r-Bell Polynomials

نویسندگان

  • Miloud Mihoubi
  • Hacène Belbachir
چکیده

Letting Bn,r be the n-th r-Bell polynomial, it is well known that Bn(x) admits specific integer coordinates in the two bases {x}i and {xBi(x)}i according to, respectively, the Stirling numbers and the binomial coefficients. Our aim is to prove that the sequences Bn+m,r(x) and Bn,r+s(x) admit a binomial recurrence coefficient in different bases of the Q-vector space formed by polynomials of Q[X].

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تاریخ انتشار 2014