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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 ...
Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for apostol-type numbers and polynomials
(Kent State University, 2018)
Because the Lyndon words and their numbers have practical applications in many different disciplines such as mathematics, probability, statistics, computer programming, algorithms, etc., it is known that not only mathematicians ...
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 ...