XCas sum limit confusion
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09-02-2023, 12:54 PM
Post: #3
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RE: XCas sum limit confusion
For the same reason, product limits behave exactly the same as sum.
Cas> Pochhammer(a,n) := product((a+j), j, 0, n-1) Cas> Pochhammer(a, 0) → 1 Cas> Pochhammer(0, 0) → 1 When limits get switched, "opposite" for sum negated equivalent to product reciprocal. Pochhammer(a, -|n|) = product((a+j), j, 0, -|n|-1) = 1/product((a+j), j, -|n|, -1) Cas> Pochhammer(a, 3) → a*(a+1)*(a+2) Cas> Pochhammer(a, -3) → 1/((a-1)*(a-2)*(a-3)) |
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Messages In This Thread |
XCas sum limit confusion - Albert Chan - 08-26-2020, 07:48 PM
RE: XCas sum limit confusion - Albert Chan - 08-26-2020, 09:58 PM
RE: XCas sum limit confusion - Albert Chan - 09-02-2023 12:54 PM
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