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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… Click to show full 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;
weighted falling;
three binomial;
falling rising;
rising factorials;
sums weighted
Journal Title: Turkish Journal of Mathematics
Year Published: 2018
Link to full text (if available)
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Journal Title: Turkish Journal of Mathematics
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!