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Formula:2631

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Digital Library of Mathematical Functions ID 5.6.E8

| Γ ⁡ ( z + a ) Γ ⁡ ( z + b ) | ≤ 1 | z | b - a . Euler-Gamma 𝑧 𝑎 Euler-Gamma 𝑧 𝑏 1 superscript 𝑧 𝑏 𝑎 {\displaystyle{\displaystyle\left|\frac{\Gamma\left(z+a\right)}{\Gamma\left(z+% b\right)}\right|\leq\frac{1}{|z|^{b-a}}.}}


Constraint(s)

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : real or complex variable
  • b 𝑏 {\displaystyle{\displaystyle b}} : real or complex variable
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This page was last edited on 28 January 2024, at 10:30.
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