Pré-Publication, Document De Travail Année : 2022

A new formula on analytic Combinatory

Résumé

I want to prove that the ratio, , Γ , of the product of any m consecutive positive integers, n(n+1)(n+2)..(n+m-1), divided by the product of the first m positive number, m!, is equal to summation of i=1…n or Γ ∑ Γ. I demonstrate this formula by a very simple recurrence method, therefore these properties must be known to everyone, especially to students.

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hal-03769848 , version 1 (05-09-2022)

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  • HAL Id : hal-03769848 , version 1

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M Hage-Hassan. A new formula on analytic Combinatory. 2022. ⟨hal-03769848⟩

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