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Formula:3266

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Digital Library of Mathematical Functions ID 8.10.E11

( 1 - e - α a ⁢ x ) a ≤ P ⁡ ( a , x ) ≤ ( 1 - e - β a ⁢ x ) a , superscript 1 superscript 𝑒 subscript 𝛼 𝑎 𝑥 𝑎 incomplete-gamma-P 𝑎 𝑥 superscript 1 superscript 𝑒 subscript 𝛽 𝑎 𝑥 𝑎 {\displaystyle{\displaystyle(1-e^{-\alpha_{a}x})^{a}\leq P\left(a,x\right)\leq% (1-e^{-\beta_{a}x})^{a},}}


Constraint(s)

a > 0 𝑎 0 {\displaystyle{\displaystyle a>0}}

Symbols List

  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • P ⁡ ( a , z ) incomplete-gamma-P 𝑎 𝑧 {\displaystyle{\displaystyle P\left(\NVar{a},\NVar{z}\right)}} : normalized incomplete gamma function
  • x 𝑥 {\displaystyle{\displaystyle x}} : real variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  • α a subscript 𝛼 𝑎 {\displaystyle{\displaystyle\alpha_{a}}} : α a
  • β a subscript 𝛽 𝑎 {\displaystyle{\displaystyle\beta_{a}}} : β a
  •  Edit this on Wikidata

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