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DLMF:10.14.E3

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MaRDI QIDQ3838

  • Label: DLMF:10.14.E3


Digital Library of Mathematical Functions ID 10.14.E3

| J n ⁡ ( z ) | ≤ e | ℑ ⁡ z | , Bessel-J 𝑛 𝑧 superscript 𝑒 𝑧 {\displaystyle{\displaystyle|J_{n}\left(z\right)|\leq e^{|\Im z|},}}


Constraint(s)

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

Symbols List

  • J ν ⁡ ( z ) Bessel-J 𝜈 𝑧 {\displaystyle{\displaystyle J_{\NVar{\nu}}\left(\NVar{z}\right)}} : Bessel function of the first kind
  • ∈ {\displaystyle{\displaystyle\in}} :
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ℑ ⁡ absent {\displaystyle{\displaystyle\Im}} : imaginary part
  • ℤ {\displaystyle{\displaystyle\mathbb{Z}}} :
  • n 𝑛 {\displaystyle{\displaystyle n}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  •  Edit this on Wikidata

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