Created
November 16, 2022 20:22
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For Pole-Pushing lemma
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| sage: j = var('j') | |
| sage: k = var('k') | |
| sage: f(j,k) = factorial(j+k)/( factorial(j-1) * factorial(k) ) * 1/2^k | |
| sage: F(j) = sum( f(j,k),k,0,oo) | |
| sage: F(j) | |
| 2^(j + 1)*factorial(j)/factorial(j - 1) | |
| sage: Fj = F(j) | |
| sage: Fj.simplify_factorial() | |
| 2^(j + 1)*j |
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