| Autor: |
AZEVEDO, ASSIS, AZEVEDO, DAVIDE |
| Zdroj: |
Mathematical Inequalities & Applications; 2023, Vol. 26 Issue 4, p841-850, 12p |
| Abstrakt: |
We consider a certain class of polynomials with coefficients in ZM, all of which admit a unique zero. We prove that the zero of each of those can be given by a (multiple) sum involving the coefficients and a vectorial generalization of the Fuss-Catalan numbers. We also consider the sequence of the partial sums of the generating function of the d -Fuss- Catalan numbers. Using the holonomy of this sequence, we study its asymptotic behaviour. The main difference from the known case d = 2 is, in that one, we have a "closed" expression for the generating function. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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