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3.9.E4 - MaRDI portal

3.9.E4 (Q1368)

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3.9.E4
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    Statements

    DLMF defining formula
    Δ k a 0 = ∑ m = 0 k ( - 1 ) m ⁢ ( k m ) ⁢ a k - m . superscript forward-difference 𝑘 subscript 𝑎 0 superscript subscript 𝑚 0 𝑘 superscript 1 𝑚 binomial 𝑘 𝑚 subscript 𝑎 𝑘 𝑚 {\displaystyle{\displaystyle\Delta^{k}a_{0}=\sum_{m=0}^{k}(-1)^{m}\genfrac{(}{% )}{0.0pt}{}{k}{m}a_{k-m}.}}
    0 references
    Symbols used
    Q10728
    DLMF defining formula
    ( m n ) binomial 𝑚 𝑛 {\displaystyle{\displaystyle\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}}}
    xml-id
    C1.S2.SS1.m1adec
    0 references
    Q11071
    DLMF defining formula
    Δ forward-difference {\displaystyle{\displaystyle\Delta}}
    xml-id
    C3.S6.SS1.p1.m2abdec
    0 references

    Identifiers

     
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