DLMF:10.14.E7

MaRDI QIDQ3842

• Label: DLMF:10.14.E7

Digital Library of Mathematical Functions ID 10.14.E7

${\displaystyle{\displaystyle 1\leq\frac{J_{\nu}\left(\nu x\right)}{x^{\nu}J_{\nu}\left(\nu\right)}\leq e^{\nu(1-x)},}}$

Constraint(s)

${\displaystyle{\displaystyle\nu\geq 0,0<x\leq 1}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle x}}$: real variable
• ${\displaystyle{\displaystyle\nu}}$: complex parameter
 

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