DLMF:27.14.E15 (Q8114): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Euler’s reciprocal function / rank
 
Normal rank
Property / Symbols used: Euler’s reciprocal function / qualifier
 
test:

f ( x ) Euler-phi 𝑥 {\displaystyle{\displaystyle\mathit{f}\left(\NVar{x}\right)}}

\EulerPhi@{\NVar{x}}
Property / Symbols used: Euler’s reciprocal function / qualifier
 
xml-id: C27.S14.E2.m2addec
Property / Symbols used
 
Property / Symbols used: Q12187 / rank
 
Normal rank
Property / Symbols used: Q12187 / qualifier
 
test:

p ( n ) partition-function 𝑛 {\displaystyle{\displaystyle p\left(\NVar{n}\right)}}

\npartitions[]@{\NVar{n}}
Property / Symbols used: Q12187 / qualifier
 
xml-id: C26.S2.Px4.p2.m5aedec
Property / Symbols used
 
Property / Symbols used: Q12234 / rank
 
Normal rank
Property / Symbols used: Q12234 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12234 / qualifier
 
xml-id: C27.S1.XMD4.m1hdec
Property / Symbols used
 
Property / Symbols used: Q12237 / rank
 
Normal rank
Property / Symbols used: Q12237 / qualifier
 
test:

x 𝑥 {\displaystyle{\displaystyle x}}

x
Property / Symbols used: Q12237 / qualifier
 
xml-id: C27.S1.XMD6.m1cdec

Latest revision as of 13:31, 2 January 2020

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DLMF:27.14.E15
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    Statements

    5 ( f ( x 5 ) ) 5 ( f ( x ) ) 6 = n = 0 p ( 5 n + 4 ) x n 5 superscript Euler-phi superscript 𝑥 5 5 superscript Euler-phi 𝑥 6 superscript subscript 𝑛 0 partition-function 5 𝑛 4 superscript 𝑥 𝑛 {\displaystyle{\displaystyle 5\frac{(\mathit{f}\left(x^{5}\right))^{5}}{(% \mathit{f}\left(x\right))^{6}}=\sum_{n=0}^{\infty}p\left(5n+4\right)x^{n}}}
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    | x | < 1 𝑥 1 {\displaystyle{\displaystyle|x|<1}}
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    f ( x ) Euler-phi 𝑥 {\displaystyle{\displaystyle\mathit{f}\left(\NVar{x}\right)}}
    C27.S14.E2.m2addec
    0 references
    p ( n ) partition-function 𝑛 {\displaystyle{\displaystyle p\left(\NVar{n}\right)}}
    C26.S2.Px4.p2.m5aedec
    0 references
    n 𝑛 {\displaystyle{\displaystyle n}}
    C27.S1.XMD4.m1hdec
    0 references
    x 𝑥 {\displaystyle{\displaystyle x}}
    C27.S1.XMD6.m1cdec
    0 references