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单词 Poisson Kernel
释义

Poisson Kernel

In 2-D,

 
  
  
  
 (1)

In 3-D,


(2)

where and
(3)

The Poisson kernel for the -Ball is
(4)

where is the outward normal derivative at point on a unit -Sphere and
(5)

See also Poisson's Harmonic Function Formula


References

Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, p. 1090, 1979.


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