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Jan 20, 2023 at 10:24 vote accept Tim Seppelt
Jan 19, 2023 at 19:15 comment added მამუკა ჯიბლაძე Sorry for confusion, indeed this is a different identity!
Jan 19, 2023 at 19:00 history edited Iosif Pinelis CC BY-SA 4.0
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Jan 19, 2023 at 18:59 comment added Iosif Pinelis @მამუკაჯიბლაძე : Thank you for your comment. Then you will probably need some other identity as well, because on the right-hand side you will have $\sum_{m=1}^n S(n,m)(-1)^m m!$ rather than $\sum_{m=1}^n S(n,m)(-1)^m(m-1)!$ (also $(-1)^n$ instead of $0$ on the left).
Jan 19, 2023 at 18:49 comment added მამუკა ჯიბლაძე You can also substitute $x=-1$
Jan 19, 2023 at 18:28 history edited Iosif Pinelis CC BY-SA 4.0
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Jan 19, 2023 at 18:17 history edited Iosif Pinelis CC BY-SA 4.0
added 201 characters in body
Jan 19, 2023 at 17:46 history answered Iosif Pinelis CC BY-SA 4.0