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BIBTEX RIS

A Note on the Asymptotic Behavior of the Distribution Function of a General Sequence

2021; De Gruyter Open; Volume: 35; Issue: 1 Linguagem: Inglês

10.2478/amsil-2020-0027

ISSN

2391-4238

Autores

Reza Farhadian, Rafael Jakimczuk,

Tópico(s)

Advanced Mathematical Identities

Resumo

Abstract The aim of this note is to study the distribution function of certain sequences of positive integers, including, for example, Bell numbers, factorials and primorials. In fact, we establish some general asymptotic formulas in this regard. We also prove some limits that connect these sequences with the number e . Furthermore, we present a generalization of the primorial.

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