DLMF:2.6.E42 (Q868)

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DLMF:2.6.E42
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    Statements

    Defining formula
    f = ∑ s = 0 n - 1 a s ⁢ t - s - 1 - ∑ s = 1 n d s ⁢ δ ( s - 1 ) + f n . 𝑓 superscript subscript 𝑠 0 𝑛 1 subscript 𝑎 𝑠 superscript 𝑡 𝑠 1 superscript subscript 𝑠 1 𝑛 subscript 𝑑 𝑠 Dirac-delta 𝑠 1 subscript 𝑓 𝑛 {\displaystyle{\displaystyle f=\sum_{s=0}^{n-1}a_{s}t^{-s-1}-\sum_{s=1}^{n}d_{% s}{\delta^{(s-1)}}+f_{n}.}}
    0 references
    DLMF id
    DLMF:2.6.E42
    0 references
    Symbols used
    Q10915
    Defining formula
    δ ⁡ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    xml-id
    C1.S17.SS1.p1.m2aedec
    0 references
    Q11025
    Defining formula
    d s subscript 𝑑 𝑠 {\displaystyle{\displaystyle d_{s}}}
    xml-id
    C2.S6.XMD10.m1bdec
    0 references
    Q11019
    Defining formula
    f ⁢ ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    xml-id
    C2.S6.XMD2.m1sdec
    0 references
    Q11031
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C2.S6.XMD20.m1bdec
    0 references
    Q11034
    Defining formula
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    xml-id
    C2.S6.XMD24.m1adec
    0 references
    Q11022
    Defining formula
    f n , n ⁢ ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}}
    xml-id
    C2.S6.XMD7.m1hdec
    0 references
     
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