DLMF:25.14.E4 (Q7743): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Lerch’s transcendent / rank
 
Normal rank
Property / Symbols used: Lerch’s transcendent / qualifier
 
test:

Φ ( z , s , a ) Lerch-Phi 𝑧 𝑠 𝑎 {\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}

\LerchPhi@{\NVar{z}}{\NVar{s}}{\NVar{a}}
Property / Symbols used: Lerch’s transcendent / qualifier
 
xml-id: C25.S14.E1.m2acdec

Revision as of 00:02, 2 January 2020

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DLMF:25.14.E4
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    Statements

    Φ ( z , s , a ) = z m Φ ( z , s , a + m ) + n = 0 m - 1 z n ( a + n ) s . Lerch-Phi 𝑧 𝑠 𝑎 superscript 𝑧 𝑚 Lerch-Phi 𝑧 𝑠 𝑎 𝑚 superscript subscript 𝑛 0 𝑚 1 superscript 𝑧 𝑛 superscript 𝑎 𝑛 𝑠 {\displaystyle{\displaystyle\Phi\left(z,s,a\right)=z^{m}\Phi\left(z,s,a+m% \right)+\sum_{n=0}^{m-1}\frac{z^{n}}{(a+n)^{s}}.}}
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    Φ ( z , s , a ) Lerch-Phi 𝑧 𝑠 𝑎 {\displaystyle{\displaystyle\Phi\left(\NVar{z},\NVar{s},\NVar{a}\right)}}
    C25.S14.E1.m2acdec
    0 references