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DLMF:10.40.E14

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MaRDI QIDQ4289

  • Label: DLMF:10.40.E14


Digital Library of Mathematical Functions ID 10.40.E14

R m , ℓ ⁢ ( ν , z ) = O ⁡ ( e - 2 ⁢ | z | ⁢ z - m ) , subscript 𝑅 𝑚 ℓ 𝜈 𝑧 Big-O superscript 𝑒 2 𝑧 superscript 𝑧 𝑚 {\displaystyle{\displaystyle R_{m,\ell}(\nu,z)=O\left(e^{-2|z|}z^{-m}\right),}}


Constraint(s)

| ph ⁡ z | ≤ π phase 𝑧 𝜋 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\pi}}

Symbols List

  • O ⁡ ( x ) Big-O 𝑥 {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • m 𝑚 {\displaystyle{\displaystyle m}} : integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • ν 𝜈 {\displaystyle{\displaystyle\nu}} : complex parameter
  •  Edit this on Wikidata

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