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Formula:3272

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Digital Library of Mathematical Functions ID 8.11.E3

R n ⁒ ( a , z ) = O ⁑ ( z - n ) , subscript 𝑅 𝑛 π‘Ž 𝑧 Big-O superscript 𝑧 𝑛 {\displaystyle{\displaystyle R_{n}(a,z)=O\left(z^{-n}\right),}}


Constraint(s)

| ph ⁑ z | ≀ 3 2 ⁒ Ο€ - Ξ΄ phase 𝑧 3 2 πœ‹ 𝛿 {\displaystyle{\displaystyle|\operatorname{ph}z|\leq\tfrac{3}{2}\pi-\delta}}

Symbols List

  • O ⁑ ( x ) Big-O π‘₯ {\displaystyle{\displaystyle O\left(\NVar{x}\right)}} : order not exceeding
  • Ο€ {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • ph phase {\displaystyle{\displaystyle\operatorname{ph}}} : phase
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a π‘Ž {\displaystyle{\displaystyle a}} : parameter
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
  • Ξ΄ 𝛿 {\displaystyle{\displaystyle\delta}} : small positive constant
  • R n ⁒ ( a , z ) subscript 𝑅 𝑛 π‘Ž 𝑧 {\displaystyle{\displaystyle R_{n}(a,z)}} : remainder
  •  Edit this on Wikidata

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