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

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / rank
 
Normal rank
Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier
 
test:

M ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}

\KummerconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}
Property / Symbols used: $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function / qualifier
 
xml-id: C13.S2.E2.m2akdec

Revision as of 14:53, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:13.6.E20
No description defined

    Statements

    test
    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).}}
    0 references
    DLMF id
    DLMF:13.6.E20
    0 references
    Symbols used
    Q11565
    test
    C n ⁡ ( x ; a ) Charlier-polynomial-C 𝑛 𝑥 𝑎 {\displaystyle{\displaystyle C_{\NVar{n}}\left(\NVar{x};\NVar{a}\right)}}
    xml-id
    C18.S19.T1.t1.r5.m2adec
    0 references
    $$={{}_{1}F_{1}}\left(\NVar{a};\NVar{b};\NVar{z}\right)$$ Kummer confluent hypergeometric function
    test
    M ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-M 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle M\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E2.m2akdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4407&oldid=23880"