DLMF:13.26.E8 (Q4660): 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.E8
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    Statements

    test
    e - 1 2 ⁹ y ⁹ ( x + y x ) ÎŒ + 1 2 ⁹ ∑ n = 0 ∞ ( 1 2 + ÎŒ - Îș ) n 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‘„ 𝑩 đ‘„ 𝜇 1 2 superscript subscript 𝑛 0 Pochhammer 1 2 𝜇 𝜅 𝑛 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+y}{x}\right)^{\mu+% \frac{1}{2}}\sum_{n=0}^{\infty}\frac{{\left(\frac{1}{2}+\mu-\kappa\right)_{n}}% }{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.E8
    0 references
    constraint
    | y | < | x | 𝑩 đ‘„ {\displaystyle{\displaystyle|y|<|x|}}
    0 references
     
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