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2.10.E15 - MaRDI portal

2.10.E15 (Q973)

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2.10.E15
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    Statements

    DLMF defining formula
    j α - ( j + 1 ) α = - α ⁢ j α - 1 + α ⁢ ( α - 1 ) ⁢ O ⁡ ( j α - 2 ) superscript 𝑗 𝛼 superscript 𝑗 1 𝛼 𝛼 superscript 𝑗 𝛼 1 𝛼 𝛼 1 Big-O superscript 𝑗 𝛼 2 {\displaystyle{\displaystyle j^{\alpha}-(j+1)^{\alpha}=-\alpha j^{\alpha-1}+% \alpha(\alpha-1)O\left(j^{\alpha-2}\right)}}
    0 references
    Symbols used
    order not exceeding
    DLMF defining formula
    O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}}
    xml-id
    C2.S1.E3.m2aadec
    0 references
     
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