- #1

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##F(a,b,c) = \sum_{j=0}^\infty \frac{(j+a)!}{(j+b)! (j+c)!}##

where ##a, b, c## are positive integers?

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- Thread starter stevendaryl
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- #1

- 8,499

- 2,635

##F(a,b,c) = \sum_{j=0}^\infty \frac{(j+a)!}{(j+b)! (j+c)!}##

where ##a, b, c## are positive integers?

- #2

- 35,576

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In the simple special case of a=b, that will give ##e- \sum_{j=0}^{c-1} \frac 1 {j!}##, no?

##F(a,b,c) = \sum_{j=0}^\infty \frac{(j+a)!}{(j+b)! (j+c)!}##

where ##a, b, c## are positive integers?

I would not count that as closed form.

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