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Formula:10126

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Digital Library of Mathematical Functions ID 32.10.E33

z ⁢ ( 1 - z ) ⁢ d 2 ϕ d z 2 + ( 1 - 2 ⁢ z ) ⁢ d ϕ d z - 1 4 ⁢ ϕ = 0 . 𝑧 1 𝑧 derivative italic-ϕ 𝑧 2 1 2 𝑧 derivative italic-ϕ 𝑧 1 4 italic-ϕ 0 {\displaystyle{\displaystyle z(1-z)\frac{{\mathrm{d}}^{2}\phi}{{\mathrm{d}z}^{% 2}}+(1-2z)\frac{\mathrm{d}\phi}{\mathrm{d}z}-\tfrac{1}{4}\phi=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 $$x$$
  • z 𝑧 {\displaystyle{\displaystyle z}} : real
  • ϕ ⁢ ( z ) italic-ϕ 𝑧 {\displaystyle{\displaystyle\phi(z)}} : function
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This page was last edited on 28 January 2024, at 10:30.
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