A note on the asymptotic behavior of the distribution function of a general sequence
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.
Keywords
Bell numbers; factorials; primorials; distribution function; asymptotic behavior; the number e
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Department of Statistics, Razi University, Iran Iran, Islamic Republic of
https://orcid.org/0000-0003-4027-9838
División Matemática, Universidad Nacional de Luján, República Argentina Argentina
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