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Date: 17-9-2018
1622
Date: 25-3-2019
1877
Date: 31-7-2019
1613
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Kelvin defined the Kelvin functions bei and ber according to
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where is a Bessel function of the first kind and is a modified Bessel function of the first kind. These functions satisfy the Kelvin differential equation.
Similarly, the functions kei and ker by
(5) |
where is a modified Bessel function of the second kind. For the special case ,
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REFERENCES:
Abramowitz, M. and Stegun, I. 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.
Prudnikov, A. P.; Marichev, O. I.; and Brychkov, Yu. A. "The Kelvin Functions , , and ." §1.7 in Integrals and Series, Vol. 3: More Special Functions. Newark, NJ: Gordon and Breach, pp. 29-30, 1990.
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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