DLMF:13.13.E8 (Q4485): Difference between revisions

From testwiki
Jump to navigation Jump to search
← Older editNewer edit →
imported>Admin
imported>Admin
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
test:

! {\displaystyle{\displaystyle!}}

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5agdec

Revision as of 15:04, 2 January 2020

No description defined
Language Label Description Also known as
English
DLMF:13.13.E8
No description defined

    Statements

    test
    ( x + y x ) 1 - b ⁢ ∑ n = 0 ∞ ( 1 + a - b ) n ⁢ ( - y / x ) n n ! ⁢ U ⁡ ( a , b - n , x ) , superscript 𝑥 𝑦 𝑥 1 𝑏 superscript subscript 𝑛 0 Pochhammer 1 𝑎 𝑏 𝑛 superscript 𝑦 𝑥 𝑛 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle\left(\frac{x+y}{x}\right)^{1-b}\*\sum_{n=0}^{% \infty}\frac{{\left(1+a-b\right)_{n}}(-\ifrac{y}{x})^{n}}{n!}U\left(a,b-n,x% \right),}}
    0 references
    DLMF id
    DLMF:13.13.E8
    0 references
    constraint
    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
    0 references
    Symbols used
    Kummer confluent hypergeometric function
    test
    U ⁡ ( a , b , z ) Kummer-confluent-hypergeometric-U 𝑎 𝑏 𝑧 {\displaystyle{\displaystyle U\left(\NVar{a},\NVar{b},\NVar{z}\right)}}
    xml-id
    C13.S2.E6.m2aadec
    0 references
    Q10759
    test
    ( a ) n Pochhammer 𝑎 𝑛 {\displaystyle{\displaystyle{\left(\NVar{a}\right)_{\NVar{n}}}}}
    xml-id
    C5.S2.SS3.m1agdec
    0 references
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5agdec
    0 references
     
      Retrieved from "https://lct.wmflabs.org/w/index.php?title=Item:Q4485&oldid=24470"