DLMF:10.14.E3

MaRDI QIDQ3838

• Label: DLMF:10.14.E3

Digital Library of Mathematical Functions ID 10.14.E3

${\displaystyle{\displaystyle|J_{n}\left(z\right)|\leq e^{|\Im z|},}}$

Constraint(s)

${\displaystyle{\displaystyle n\in\mathbb{Z}}}$

Symbols List

• ${\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}}$: Bessel function of the first kind
• ${\displaystyle{\displaystyle\in}}$:
• ${\displaystyle{\displaystyle\mathrm{e}}}$: base of natural logarithm
• ${\displaystyle{\displaystyle\Im}}$: imaginary part
• ${\displaystyle{\displaystyle\mathbb{Z}}}$:
• ${\displaystyle{\displaystyle n}}$: integer
• ${\displaystyle{\displaystyle z}}$: complex variable
 

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