We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. From this identity, we deduce several particular identities involving numbers of combinatorial interest, such as generalized Fibonacci and Lucas numbers, Catalan numbers, binomial and trinomial coefficients and Stirling numbers
We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the e...
AbstractWe consider an infinite lower triangular matrix L=[ℓn,k]n,k∈N0 and a sequence Ω=(ωn)n∈N0 cal...
We show how various transformations of integer sequences, normally realized by Riordan or generalize...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
AbstractBy observing that the infinite triangle obtained from some generalized harmonic numbers foll...
AbstractHistorically, there exist two versions of the Riordan array concept. The older one (better k...
AbstractLet the numbers P(r,n,k) be defined by P(r,n,k):=Pr(Hn(1)−Hk(1),…,Hn(r)−Hk(r)), where Pr(x1,...
AbstractWe consider an identity relating Fibonacci numbers to Pascal's triangle discovered by G.E. A...
AbstractWe study many properties of Cauchy numbers in terms of generating functions and Riordan arra...
Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Ma...
AbstractThe concept of a Riordan array is used in a constructive way to find the generating function...
In this paper, by means of the summation property to the Riordan array, we derive some identities in...
We use the Lagrange-Bürmann inversion theorem to characterize the generating function of the central...
We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the e...
AbstractWe consider an infinite lower triangular matrix L=[ℓn,k]n,k∈N0 and a sequence Ω=(ωn)n∈N0 cal...
We show how various transformations of integer sequences, normally realized by Riordan or generalize...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
AbstractBy observing that the infinite triangle obtained from some generalized harmonic numbers foll...
AbstractHistorically, there exist two versions of the Riordan array concept. The older one (better k...
AbstractLet the numbers P(r,n,k) be defined by P(r,n,k):=Pr(Hn(1)−Hk(1),…,Hn(r)−Hk(r)), where Pr(x1,...
AbstractWe consider an identity relating Fibonacci numbers to Pascal's triangle discovered by G.E. A...
AbstractWe study many properties of Cauchy numbers in terms of generating functions and Riordan arra...
Riordan arrays are useful for solving the combinatorial sums by the help of generating functions. Ma...
AbstractThe concept of a Riordan array is used in a constructive way to find the generating function...
In this paper, by means of the summation property to the Riordan array, we derive some identities in...
We use the Lagrange-Bürmann inversion theorem to characterize the generating function of the central...
We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the e...
AbstractWe consider an infinite lower triangular matrix L=[ℓn,k]n,k∈N0 and a sequence Ω=(ωn)n∈N0 cal...
We show how various transformations of integer sequences, normally realized by Riordan or generalize...
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