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单词 bessel
释义

Besseln.

/ˈbɛsəl/
Etymology: < the name of F. W. Bessel (1784–1846), German astronomer.
Bessel function n. (also Bessel's function) a solution of Bessel's differential equation x2d2y/ dx2 + xdy/ dx + x2n2y = 0.
ΘΚΠ
the world > relative properties > number > calculus > [noun] > differential calculus > differential equations > solutions
particular integral1814
Bessel function1872
Mathieu function1915
1872 London, Edinb. & Dublin Philos. Mag. 4th Ser. 44 328 The value of Bessel's functions is becoming generally recognized.
1895 Ann. Math. 9 27 (heading) Roots of the Second Bessel Function.
1963 G. Troup Masers & Lasers (ed. 2) vii. 117 The cut-off parameters uomfor these modes are the mth roots of the zero order Bessel function Jo.

Derivatives

Beˈsselian adj. (Cent. Dict.,1889).
ΚΠ
1939 Nature 22 July 162/2 Results calculated..by the Besselian method.
This entry has not yet been fully updated (first published 1972; most recently modified version published online June 2018).
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n.1872
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