DLMF:2.6.E41 (Q867): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(3 intermediate revisions by the same user not shown)
Property / Symbols used
 
Property / Symbols used: Q11031 / rank
 
Normal rank
Property / Symbols used: Q11031 / qualifier
 
Defining formula:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q11031 / qualifier
 
xml-id: C2.S6.XMD20.m1adec
Property / Symbols used
 
Property / Symbols used: Q11034 / rank
 
Normal rank
Property / Symbols used: Q11034 / qualifier
 
Defining formula:

a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}

a_{n}
Property / Symbols used: Q11034 / qualifier
 
xml-id: C2.S6.XMD24.m1dec
Property / Symbols used
 
Property / Symbols used: Q11022 / rank
 
Normal rank
Property / Symbols used: Q11022 / qualifier
 
Defining formula:

f n , n ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}}

f_{n,n}(t)
Property / Symbols used: Q11022 / qualifier
 
xml-id: C2.S6.XMD7.m1gdec
Property / Symbols used
 
Property / Symbols used: Q11035 / rank
 
Normal rank
Property / Symbols used: Q11035 / qualifier
 
Defining formula:

c s subscript 𝑐 𝑠 {\displaystyle{\displaystyle c_{s}}}

c_{s}
Property / Symbols used: Q11035 / qualifier
 
xml-id: C2.S6.XMD9.m1dec

Latest revision as of 17:15, 1 January 2020

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DLMF:2.6.E41
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    Statements

    f = s = 0 n - 1 a s t - s - α - s = 1 n c s δ ( s - 1 ) + f n , 𝑓 superscript subscript 𝑠 0 𝑛 1 subscript 𝑎 𝑠 superscript 𝑡 𝑠 𝛼 superscript subscript 𝑠 1 𝑛 subscript 𝑐 𝑠 Dirac-delta 𝑠 1 subscript 𝑓 𝑛 {\displaystyle{\displaystyle f=\sum_{s=0}^{n-1}a_{s}t^{-s-\alpha}-\sum_{s=1}^{% n}c_{s}{\delta^{(s-1)}}+f_{n},}}
    0 references
    DLMF:2.6.E41
    0 references
    δ ( x - a ) Dirac-delta 𝑥 𝑎 {\displaystyle{\displaystyle\delta\left(\NVar{x-a}\right)}}
    C1.S17.SS1.p1.m2addec
    0 references
    f ( t ) 𝑓 𝑡 {\displaystyle{\displaystyle f(t)}}
    C2.S6.XMD2.m1rdec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C2.S6.XMD20.m1adec
    0 references
    a n subscript 𝑎 𝑛 {\displaystyle{\displaystyle a_{n}}}
    C2.S6.XMD24.m1dec
    0 references
    f n , n ( t ) subscript 𝑓 𝑛 𝑛 𝑡 {\displaystyle{\displaystyle f_{n,n}(t)}}
    C2.S6.XMD7.m1gdec
    0 references
    c s subscript 𝑐 𝑠 {\displaystyle{\displaystyle c_{s}}}
    C2.S6.XMD9.m1dec
    0 references