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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