DLMF:13.29.E3 (Q4670): 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.m1adec

Revision as of 01:08, 2 January 2020

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DLMF:13.29.E3
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    Statements

    e - 1 2 z = s = 0 ( 2 μ ) s ( 1 2 + μ - κ ) s ( 2 μ ) 2 s s ! ( - z ) s y ( s ) , superscript 𝑒 1 2 𝑧 superscript subscript 𝑠 0 Pochhammer 2 𝜇 𝑠 Pochhammer 1 2 𝜇 𝜅 𝑠 Pochhammer 2 𝜇 2 𝑠 𝑠 superscript 𝑧 𝑠 𝑦 𝑠 {\displaystyle{\displaystyle e^{-\frac{1}{2}z}=\sum_{s=0}^{\infty}\frac{{\left% (2\mu\right)_{s}}{\left(\frac{1}{2}+\mu-\kappa\right)_{s}}}{{\left(2\mu\right)% _{2s}}s!}(-z)^{s}y(s),}}
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    DLMF:13.29.E3
    0 references
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    C5.S2.SS3.m1adec
    0 references