DLMF:13.13.E12 (Q4489)

From DRMF
Revision as of 17:48, 30 December 2019 by Admin (talk | contribs) (‎Changed an Item: Add constraint)
Jump to navigation Jump to search
No description defined
Language Label Description Also known as
English
DLMF:13.13.E12
No description defined

    Statements

    Defining formula
    e y ⁢ ( x + y x ) 1 - b ⁢ ∑ n = 0 ∞ ( - y ) n n ! ⁢ x n ⁢ U ⁡ ( a - n , b - n , x ) , superscript 𝑒 𝑦 superscript 𝑥 𝑦 𝑥 1 𝑏 superscript subscript 𝑛 0 superscript 𝑦 𝑛 𝑛 superscript 𝑥 𝑛 Kummer-confluent-hypergeometric-U 𝑎 𝑛 𝑏 𝑛 𝑥 {\displaystyle{\displaystyle e^{y}\left(\frac{x+y}{x}\right)^{1-b}\sum_{n=0}^{% \infty}\frac{(-y)^{n}}{n!x^{n}}U\left(a-n,b-n,x\right),}}
    0 references
    DLMF id
    DLMF:13.13.E12
    0 references
    constraint
    | y | < | x | 𝑦 𝑥 {\displaystyle{\displaystyle|y|<|x|}}
    0 references
     
        Retrieved from "https://drmf-beta.wmflabs.org/index.php?title=Item:Q4489&oldid=18790"