DLMF:13.26.E10 (Q4662): Difference between revisions

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Property / constraint
 

| y | < | x | 𝑩 đ‘„ {\displaystyle{\displaystyle|y|<|x|}}

|y|<|x|
Property / constraint: | y | < | x | 𝑩 đ‘„ {\displaystyle{\displaystyle|y|<|x|}} / rank
 
Normal rank

Revision as of 16:50, 30 December 2019

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DLMF:13.26.E10
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    Statements

    test
    e 1 2 ⁹ y ⁹ ( x x + y ) ÎŒ - 1 2 ⁹ ∑ n = 0 ∞ 1 n ! ⁹ ( - y x ) n ⁹ W Îș + 1 2 ⁹ n , ÎŒ - 1 2 ⁹ n ⁥ ( x ) , superscript 𝑒 1 2 𝑩 superscript đ‘„ đ‘„ 𝑩 𝜇 1 2 superscript subscript 𝑛 0 1 𝑛 superscript 𝑩 đ‘„ 𝑛 Whittaker-confluent-hypergeometric-W 𝜅 1 2 𝑛 𝜇 1 2 𝑛 đ‘„ {\displaystyle{\displaystyle e^{\frac{1}{2}y}\left(\frac{x}{x+y}\right)^{\mu-% \frac{1}{2}}\sum_{n=0}^{\infty}\frac{1}{n!}\left(\frac{-y}{\sqrt{x}}\right)^{n% }\*W_{\kappa+\frac{1}{2}n,\mu-\frac{1}{2}n}\left(x\right),}}
    0 references
    DLMF id
    DLMF:13.26.E10
    0 references
    constraint
    | y | < | x | 𝑩 đ‘„ {\displaystyle{\displaystyle|y|<|x|}}
    0 references
     
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