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Formula:4365

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Digital Library of Mathematical Functions ID 10.46.E3

E a , b ⁡ ( z ) = ∑ k = 0 ∞ z k Γ ⁡ ( a ⁢ k + b ) , Mittag-Leffler-function 𝑎 𝑏 𝑧 superscript subscript 𝑘 0 superscript 𝑧 𝑘 Euler-Gamma 𝑎 𝑘 𝑏 {\displaystyle{\displaystyle E_{a,b}\left(z\right)=\sum_{k=0}^{\infty}\frac{z^% {k}}{\Gamma\left(ak+b\right)},}}


Constraint(s)

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

Symbols List

  • Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}} : gamma function
  • k 𝑘 {\displaystyle{\displaystyle k}} : nonnegative integer
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
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This page was last edited on 3 March 2024, at 02:59.
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