DLMF:18.34.E1 (Q6027): Difference between revisions

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Property / Symbols defined: Bessel polynomial / rank
 
Normal rank

Revision as of 15:22, 30 December 2019

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DLMF:18.34.E1
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    y n ⁡ ( x ; a ) = F 0 2 ⁡ ( - n , n + a - 1 - ; - x 2 ) = ( n + a - 1 ) n ⁢ ( x 2 ) n ⁢ F 1 1 ⁡ ( - n - 2 ⁢ n - a + 2 ; 2 x ) . Bessel-polynomial-y 𝑛 𝑥 𝑎 Gauss-hypergeometric-pFq 2 0 𝑛 𝑛 𝑎 1 𝑥 2 Pochhammer 𝑛 𝑎 1 𝑛 superscript 𝑥 2 𝑛 Kummer-confluent-hypergeometric-M-as-1F1 𝑛 2 𝑛 𝑎 2 2 𝑥 {\displaystyle{\displaystyle y_{n}\left(x;a\right)={{}_{2}F_{0}}\left({-n,n+a-% 1\atop-};-\frac{x}{2}\right)={\left(n+a-1\right)_{n}}\left(\frac{x}{2}\right)^% {n}{{}_{1}F_{1}}\left({-n\atop-2n-a+2};\frac{2}{x}\right).}}
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    DLMF id
    DLMF:18.34.E1
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