DLMF:10.14.E8 (Q3145): Difference between revisions

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Property / constraint
 

n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}

n=0,1,2,\dots
Property / constraint: n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}} / rank
 
Normal rank

Revision as of 17:17, 30 December 2019

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DLMF:10.14.E8
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    Statements

    | J n ( n z ) | | z n exp ( n ( 1 - z 2 ) 1 2 ) | | 1 + ( 1 - z 2 ) 1 2 | n , Bessel-J 𝑛 𝑛 𝑧 superscript 𝑧 𝑛 𝑛 superscript 1 superscript 𝑧 2 1 2 superscript 1 superscript 1 superscript 𝑧 2 1 2 𝑛 {\displaystyle{\displaystyle|J_{n}\left(nz\right)|\leq\frac{\left|z^{n}\exp% \left(n(1-z^{2})^{\frac{1}{2}}\right)\right|}{\left|1+(1-z^{2})^{\frac{1}{2}}% \right|^{n}},}}
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    n = 0 , 1 , 2 , 𝑛 0 1 2 {\displaystyle{\displaystyle n=0,1,2,\dots}}
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