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Formula:3192

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Digital Library of Mathematical Functions ID 8.2.E14

z ⁢ d 2 γ * d z 2 + ( a + 1 + z ) ⁢ d γ * d z + a ⁢ γ * = 0 . 𝑧 derivative incomplete-gamma-star 𝑧 2 𝑎 1 𝑧 derivative incomplete-gamma-star 𝑧 𝑎 incomplete-gamma-star 0 {\displaystyle{\displaystyle z\frac{{\mathrm{d}}^{2}\gamma^{*}}{{\mathrm{d}z}^% {2}}+(a+1+z)\frac{\mathrm{d}\gamma^{*}}{\mathrm{d}z}+a\gamma^{*}=0.}}


Constraint(s)

Symbols List

  • d f d x derivative 𝑓 𝑥 {\displaystyle{\displaystyle\frac{\mathrm{d}\NVar{f}}{\mathrm{d}\NVar{x}}}} : derivative of $$f$$ with respect to $$x$$
  • γ * ⁡ ( a , z ) incomplete-gamma-star 𝑎 𝑧 {\displaystyle{\displaystyle\gamma^{*}\left(\NVar{a},\NVar{z}\right)}} : incomplete gamma function
  • z 𝑧 {\displaystyle{\displaystyle z}} : complex variable
  • a 𝑎 {\displaystyle{\displaystyle a}} : parameter
  •  Edit this on Wikidata

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