“Hankel Transform”的概念、定义、习题解题方法及翻译-数学辞典

单词

Hankel Transform

释义

Hankel Transform

Equivalent to a 2-D Fourier Transform with a radially symmetric Kernel, and alsocalled the Fourier-Bessel Transform.

(1)

Let

			(2)
			(3)

so that

Then

where

is a zeroth order Bessel Function of the First Kind.Therefore, the Hankel transform pairs are

(11)

(12)

See also Bessel Function of the First Kind, Fourier Transform, Laplace Transform

References

Arfken, G. Mathematical Methods for Physicists, 3rd ed. Orlando, FL: Academic Press, p. 795, 1985.

Bracewell, R. The Fourier Transform and Its Applications. New York: McGraw-Hill, pp. 244-250, 1965.

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