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Formula:3209

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Digital Library of Mathematical Functions ID 8.5.E2

Ξ³ * ⁑ ( a , z ) = e - z ⁒ 𝐌 ⁑ ( 1 , 1 + a , z ) = 𝐌 ⁑ ( a , 1 + a , - z ) . incomplete-gamma-star π‘Ž 𝑧 superscript 𝑒 𝑧 Kummer-confluent-hypergeometric-bold-M 1 1 π‘Ž 𝑧 Kummer-confluent-hypergeometric-bold-M π‘Ž 1 π‘Ž 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(a,z\right)=e^{-z}{\mathbf{M}}\left% (1,1+a,z\right)={\mathbf{M}}\left(a,1+a,-z\right).}}


Constraint(s)

Symbols List

  • 𝐌 ⁑ ( a , b , z ) Kummer-confluent-hypergeometric-bold-M π‘Ž 𝑏 𝑧 {\displaystyle{\displaystyle{\mathbf{M}}\left(\NVar{a},\NVar{b},\NVar{z}\right% )}} : Olver’s confluent hypergeometric function
  • e {\displaystyle{\displaystyle\mathrm{e}}} : base of natural logarithm
  • Ξ³ * ⁑ ( a , z ) incomplete-gamma-star π‘Ž 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a π‘Ž {\displaystyle{\displaystyle a}} : parameter
  •  Edit this on Wikidata

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