DLMF:19.19.E5 (Q6365): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q10759 / rank
 
Normal rank
Property / Symbols used: Q10759 / qualifier
 
Defining formula:

( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}

\Pochhammersym{\NVar{a}}{\NVar{n}}
Property / Symbols used: Q10759 / qualifier
 
xml-id: C5.S2.SS3.m1acdec

Revision as of 13:56, 2 January 2020

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DLMF:19.19.E5
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    Statements

    T N ( 𝟏 𝟐 , 𝐳 ) = ( - 1 ) M + N ( 1 2 ) M E 1 m 1 ( 𝐳 ) E n m n ( 𝐳 ) m 1 ! m n ! , subscript 𝑇 𝑁 1 2 𝐳 superscript 1 𝑀 𝑁 Pochhammer 1 2 𝑀 superscript subscript 𝐸 1 subscript 𝑚 1 𝐳 superscript subscript 𝐸 𝑛 subscript 𝑚 𝑛 𝐳 subscript 𝑚 1 subscript 𝑚 𝑛 {\displaystyle{\displaystyle T_{N}(\mathbf{\tfrac{1}{2}},\mathbf{z})=\sum(-1)^% {M+N}{\left(\tfrac{1}{2}\right)_{M}}\frac{E_{1}^{m_{1}}(\mathbf{z})\cdots E_{n% }^{m_{n}}(\mathbf{z})}{m_{1}!\cdots m_{n}!},}}
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    DLMF:19.19.E5
    0 references
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    C5.S2.SS3.m1acdec
    0 references