“Poisson's Harmonic Function Formula”的概念、定义、习题解题方法及翻译-数学辞典

单词

Poisson's Harmonic Function Formula

释义

Poisson's Harmonic Function Formula

Let be a Harmonic Function. Then

(1)

where

and

is the Poisson Kernel. For a Circle,

(2)

For a Sphere,

(3)

where

(4)

See also Circle, Harmonic Function, Poisson Kernel, Sphere

References

Morse, P. M. and Feshbach, H. Methods of Theoretical Physics, Part I. New York: McGraw-Hill, pp. 373-374, 1953.

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