@article{oai:iuk-repo.repo.nii.ac.jp:00001179,
 author = {ナカジマ, マスミ and 中嶋, 眞澄 and Nakajima, Masumi},
 issue = {3-4},
 journal = {鹿児島経済論集, The Kagoshima journal of economics},
 month = {Mar},
 note = {We prove here the following equation: ∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) and give its application to prove the reproductive property of the negative binomial distribution.
These finite sum equation involving binomial coefficients and proof of the reproductive property are not known as far as the author knows., 論文(Article)},
 pages = {231--235},
 title = {∑_(l+m=k,l,m≥0) ((α+l-1)¦l) ((β+m-1)¦m)=((α+β+k-1)¦k) と負の二項分布への応用},
 volume = {59},
 year = {2019}
}