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单词 Kelvin Functions
释义

Kelvin Functions

Kelvin defined the Kelvin functions Bei and Ber according to

(1)

where is a Bessel Function of the First Kind, and the functions Kei and Ker by
(2)

where is a Modified Bessel Function of the Second Kind. For the special case ,
(3)

See also Bei, Ber, Kei, Ker


References

Abramowitz, M. and Stegun, C. A. (Eds.). ``Kelvin Functions.'' §9.9 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, pp. 379-381, 1972.

Spanier, J. and Oldham, K. B. ``The Kelvin Functions.'' Ch. 55 in An Atlas of Functions. Washington, DC: Hemisphere, pp. 543-554, 1987.


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