modified Hankel functions

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modified Hankel functions [′mäd·ə‚fīd ′häŋk·əl ‚fəŋk·shənz]

(mathematics)

The functions defined byK_v(x) = (iπ/2) exp (ivπ/2)H_v⁽¹⁾(ix), whereH_v⁽¹⁾is the first Hankel function of orderv, andxis real and positive. Also known as modified Bessel function of the second kind.

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