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Toplam kayıt 3, listelenen: 1-3
Remarks on recurrence formulas for the Apostol-type numbers and polynomials
(Jangjeon Mathematical Society, 2018)
In this paper, by differentiating the generating functions for one of the family of the Apostol-type numbers and polynomials with respect to their parameters, we present some partial differential equations including these ...
Identities and derivative formulas for the combinatorial and apostol-euler type numbers by their generating functions
(Univ Nis, Fac Sci Math, 2018)
The first aim of this paper is to give identities and relations for a new family of the combinatorial numbers and the Apostol-Euler type numbers of the second kind, the Stirling numbers, the Apostol-Bernoulli type numbers, ...
Computation of k-ary Lyndon words using generating functions and their differential equations
(Univ Nis, Fac Sci Math, 2018)
By using generating functions technique, we investigate some properties of the k-ary Lyndon words. We give an explicit formula for the generating functions including not only combinatorial sums, but also hypergeometric ...