I have a binomial coefficient and a prodcut together as \begin{align*} \sum_{j=0}^{m}\frac{(-1)^j}{m!}\binom{m}{j}\prod_{k=1}^{r}(2m-2j-k+1). \end{align*} Is there any simpler form of this expression?
simple form of binomial coefficient and product
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summation
binomial-coefficients
products
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0Are you supposed to know the gamma function and its specific properties ? – 2017-01-28
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0anything that can simplify the expression into shorter and simpler form. – 2017-01-28
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0Could you answer my question ? Is this homework or assignment or something else ? – 2017-01-29
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0I am working on one research problem.....its some part of a big formula.... – 2017-01-29