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Formula:549

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Digital Library of Mathematical Functions ID 1.15.E37

h ⁢ ( x , y ) = 1 2 ⁢ π ⁢ ∫ - ∞ ∞ f ⁢ ( t ) ⁢ P ⁢ ( x - t , y ) ⁢ d t ℎ 𝑥 𝑦 1 2 𝜋 subscript superscript 𝑓 𝑡 𝑃 𝑥 𝑡 𝑦 𝑡 {\displaystyle{\displaystyle h(x,y)=\frac{1}{2\pi}\int^{\infty}_{-\infty}f(t)P% (x-t,y)\mathrm{d}t}}


Constraint(s)

Symbols List

  • π {\displaystyle{\displaystyle\pi}} : the ratio of the circumference of a circle to its diameter
  • d x 𝑥 {\displaystyle{\displaystyle\mathrm{d}\NVar{x}}} : differential of x
  • ∫ {\displaystyle{\displaystyle\int}} : integral
  • P ⁢ ( x , y ) 𝑃 𝑥 𝑦 {\displaystyle{\displaystyle P(x,y)}} : Poisson kernel (locally)
  • h ⁢ ( x , y ) ℎ 𝑥 𝑦 {\displaystyle{\displaystyle h(x,y)}} : function
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