Kelvin function
（ plural ）
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(mathematics) Any of class of special functions, usually denoted as two pairs of functions berₙ(x), beiₙ(x), kerₙ(x) and keiₙ(x) with variable x and given order number n. The former two functions berₙ(x) and beiₙ(x) respectively correspond to the real part and the imaginary part of the Kelvin differential equation's solution that can be expressed with the Bessel function of the first kind Jₙ(x), and the latter kerₙ(x) and keiₙ(x) correspond to those that can be expressed with the modified Bessel function of the second kind Kₙ(x).
Kelvin function
In boundary-value problems on cylindrical domains, the Kelvin function ber_n(x) and bei_n(x), together with their modified counterparts ker_n(x) and kei_n(x), provide the real and imaginary parts of solutions expressible using the Bessel functions J_n(x) and K_n(x).
In boundary-value problems on cylindrical domains, the Kelvin function ber_n(x) and bei_n(x), together with their modified counterparts ker_n(x) and kei_n(x), provide the real and imaginary parts of solutions expressible using the Bessel functions J_n(x) and K_n(x).
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