AbstractWe study many properties of Cauchy numbers in terms of generating functions and Riordan arrays and find several new identities relating these numbers with Stirling, Bernoulli and harmonic numbers. We also reconsider the Laplace summation formula showing some applications involving the Cauchy numbers
Riordan arrays have been used as a powerful tool for solving applied algebraic and enumerative comb...
We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal po...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
AbstractWe study many properties of Cauchy numbers in terms of generating functions and Riordan arra...
AbstractBy observing that the infinite triangle obtained from some generalized harmonic numbers foll...
AbstractIn this paper, we consider a kind of sums involving Cauchy numbers, which have not been stud...
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,...
In this paper, we study the constant equations associated with the degenerate Cauchy polynomials of ...
AbstractThe concept of a Riordan array is used in a constructive way to find the generating function...
AbstractWe consider an identity relating Fibonacci numbers to Pascal's triangle discovered by G.E. A...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
AbstractHistorically, there exist two versions of the Riordan array concept. The older one (better k...
We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the e...
In this paper, by means of the summation property to the Riordan array, we derive some identities in...
Using the basic fact that any formal power series over the real or complex number field can always b...
Riordan arrays have been used as a powerful tool for solving applied algebraic and enumerative comb...
We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal po...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
AbstractWe study many properties of Cauchy numbers in terms of generating functions and Riordan arra...
AbstractBy observing that the infinite triangle obtained from some generalized harmonic numbers foll...
AbstractIn this paper, we consider a kind of sums involving Cauchy numbers, which have not been stud...
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,...
In this paper, we study the constant equations associated with the degenerate Cauchy polynomials of ...
AbstractThe concept of a Riordan array is used in a constructive way to find the generating function...
AbstractWe consider an identity relating Fibonacci numbers to Pascal's triangle discovered by G.E. A...
We obtain a general identity involving the row-sums of a Riordan matrix and the harmonic numbers. Fr...
AbstractHistorically, there exist two versions of the Riordan array concept. The older one (better k...
We study links between Krawtchouk polynomials and Riordan arrays of both the ordinary kind and the e...
In this paper, by means of the summation property to the Riordan array, we derive some identities in...
Using the basic fact that any formal power series over the real or complex number field can always b...
Riordan arrays have been used as a powerful tool for solving applied algebraic and enumerative comb...
We determine which (ordinary) Riordan arrays are the coefficient arrays of a family of orthogonal po...
AbstractWe extend Euler's well-known quadratic recurrence relation for Bernoulli numbers, which can ...
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