English Dictionary

Kelvin function

名詞

(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).

日本語の意味

数学における特殊関数の一群で、通常は2組の関数 berₙ(x), beiₙ(x) および kerₙ(x), keiₙ(x) により表される。前者の berₙ(x) と beiₙ(x) は、Kelvin微分方程式の解（第一種Bessel関数 Jₙ(x) を用いて表現できる）の実部と虚部にそれぞれ対応し、後者の kerₙ(x) と keiₙ(x) は、第二種修正Bessel関数 Kₙ(x) を用いて表現できるものに対応する。

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).

円筒座標系の境界値問題では、ケルビン関数 ber_n(x) と bei_n(x)、および修正された対の ker_n(x) と kei_n(x) が、ベッセル関数 J_n(x) と K_n(x) で表される解の実部と虚部を与えます。

意味（1）

(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 functions （ plural ）