DLMF:13.6.E20 (Q4407): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11565 / rank
 
Normal rank
Property / Symbols used: Q11565 / qualifier
 
test:

C n ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}

\CharlierpolyC{\NVar{n}}@{\NVar{x}}{\NVar{a}}
Property / Symbols used: Q11565 / qualifier
 
xml-id: C18.S19.T1.t1.r5.m2adec

Revision as of 14:53, 2 January 2020

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DLMF:13.6.E20
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    Statements

    U ( - n , z - n + 1 , a ) = ( - z ) n M ( - n , z - n + 1 , a ) = a n C n ( z ; a ) . Kummer-confluent-hypergeometric-U 𝑛 𝑧 𝑛 1 𝑎 Pochhammer 𝑧 𝑛 Kummer-confluent-hypergeometric-M 𝑛 𝑧 𝑛 1 𝑎 superscript 𝑎 𝑛 Charlier-polynomial-C 𝑛 𝑧 𝑎 {\displaystyle{\displaystyle U\left(-n,z-n+1,a\right)={\left(-z\right)_{n}}M% \left(-n,z-n+1,a\right)=a^{n}C_{n}\left(z;a\right).}}
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    C n ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    C18.S19.T1.t1.r5.m2adec
    0 references