Turkish Journal of Mathematics
DOI
10.3906/mat-1706-24
Abstract
In this paper, we will investigate and evaluate, in closed forms, three binomial sums weighted by falling and rising factorials. We first use the relationships between the rising, falling factorials and the binomial coefficients. Then we rewrite the claimed identities in terms of generalized hypergeometric functions to prove the claimed results.
Keywords
Binomial sums, rising and falling factorials, hypergeometric series
First Page
876
Last Page
880
Recommended Citation
KILIÇ, EMRAH
(2018)
"Three binomial sums weighted by falling and rising factorials,"
Turkish Journal of Mathematics: Vol. 42:
No.
3, Article 11.
https://doi.org/10.3906/mat-1706-24
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss3/11
