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Formula:688

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Digital Library of Mathematical Functions ID 2.3.E3

σ n = sup ( 0 , ∞ ) ⁡ ( t - 1 ⁢ ln ⁡ | q ( n ) ⁢ ( t ) / q ( n ) ⁢ ( 0 ) | ) subscript 𝜎 𝑛 subscript supremum 0 superscript 𝑡 1 superscript 𝑞 𝑛 𝑡 superscript 𝑞 𝑛 0 {\displaystyle{\displaystyle\sigma_{n}=\sup_{(0,\infty)}(t^{-1}\ln|q^{(n)}(t)/% q^{(n)}(0)|)}}


Constraint(s)

Symbols List

  • ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}} : principal branch of logarithm function
  • ( a , b ) 𝑎 𝑏 {\displaystyle{\displaystyle(\NVar{a},\NVar{b})}} :
  • sup supremum {\displaystyle{\displaystyle\sup}} :
  • q ⁢ ( t ) 𝑞 𝑡 {\displaystyle{\displaystyle q(t)}} : infinitely differentiable function
  • n 𝑛 {\displaystyle{\displaystyle n}} : nonnegative integer
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This page was last edited on 28 January 2024, at 10:30.
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