Utilize este identificador para referenciar este registo:
https://hdl.handle.net/1822/89116
Título: | Asymptotics for generating functions of the Fuss-Catalan numbers |
Autor(es): | Azevedo, Assis Azevedo, Davide Manuel Santos |
Palavras-chave: | uss-Catalan numbers asymptotic behavior holonomic sequence polynomial congruence vectorial Catalan numbers |
Data: | Nov-2023 |
Editora: | Element D.o.o. |
Revista: | Mathematical Inequalities & Applications |
Citação: | Azevedo, A., & Azevedo, D. (2023). Asymptotics for generating functions of the Fuss-Catalan numbers. Mathematical Inequalities & Applications. Element d.o.o. http://doi.org/10.7153/mia-2023-26-51 |
Resumo(s): | We consider a certain class of polynomials with coefficients in Z_M, 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. |
Tipo: | Artigo |
URI: | https://hdl.handle.net/1822/89116 |
DOI: | 10.7153/mia-2023-26-51 |
ISSN: | 1331-4343 |
e-ISSN: | 1848-9966 |
Versão da editora: | https://files.ele-math.com/articles/mia-26-51.pdf |
Arbitragem científica: | yes |
Acesso: | Acesso aberto |
Aparece nas coleções: | CMAT - Artigos em revistas com arbitragem / Papers in peer review journals |
Ficheiros deste registo:
Ficheiro | Descrição | Tamanho | Formato | |
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Catalan_Fuss_Sum_Polynomial.pdf | 275,46 kB | Adobe PDF | Ver/Abrir |