V2EX hankel function

Hankel Function

释义 Definition

汉克尔函数:一类与贝塞尔方程相关的特殊函数,通常记为 \(H_\nu^{(1)}(x)\) 和 \(H_\nu^{(2)}(x)\),分别称为第一类第二类汉克尔函数。它们常用于表示波动问题中的向外传播向内传播的圆柱波解(如声学、电磁学、量子散射等)。

发音 Pronunciation (IPA)

/hkl fkn/

例句 Examples

The Hankel function is often used to model outgoing cylindrical waves.
汉克尔函数常用于描述向外传播的圆柱波。

In solving the 2D Helmholtz equation in polar coordinates, the radiation condition leads naturally to choosing the Hankel function of the first kind.
在极坐标下求解二维亥姆霍兹方程时,辐射条件通常会自然地引导我们选用第一类汉克尔函数。

词源 Etymology

Hankel”来自德国数学家 Hermann Hankel(赫尔曼汉克尔)的姓氏;“function”意为“函数”。该术语用于命名与贝塞尔函数密切相关、在数学物理中非常常见的一组特殊函数。

相关词 Related Words

文献与著作 Literary / Notable Works

  • A Treatise on the Theory of Bessel Functions G. N. Watson(系统讨论贝塞尔函数及其与汉克尔函数的关系)
  • Handbook of Mathematical Functions Abramowitz & Stegun(常用特殊函数工具书,含汉克尔函数性质与公式)
  • Methods of Theoretical Physics Morse & Feshbach(在波动与边值问题中频繁使用汉克尔函数)
  • Mathematical Methods for Physicists Arfken, Weber & Harris(物理中的数学方法章节常出现汉克尔函数)
关于     帮助文档     自助推广系统     博客     API     FAQ     Solana     2722 人在线   最高记录 6679       Select Language
创意工作者们的社区
World is powered by solitude
VERSION: 3.9.8.5 52ms UTC 09:57 PVG 17:57 LAX 02:57 JFK 05:57
Do have faith in what you're doing.
ubao msn snddm index pchome yahoo rakuten mypaper meadowduck bidyahoo youbao zxmzxm asda bnvcg cvbfg dfscv mmhjk xxddc yybgb zznbn ccubao uaitu acv GXCV ET GDG YH FG BCVB FJFH CBRE CBC GDG ET54 WRWR RWER WREW WRWER RWER SDG EW SF DSFSF fbbs ubao fhd dfg ewr dg df ewwr ewwr et ruyut utut dfg fgd gdfgt etg dfgt dfgd ert4 gd fgg wr 235 wer3 we vsdf sdf gdf ert xcv sdf rwer hfd dfg cvb rwf afb dfh jgh bmn lgh rty gfds cxv xcv xcs vdas fdf fgd cv sdf tert sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf sdf shasha9178 shasha9178 shasha9178 shasha9178 shasha9178 liflif2 liflif2 liflif2 liflif2 liflif2 liblib3 liblib3 liblib3 liblib3 liblib3 zhazha444 zhazha444 zhazha444 zhazha444 zhazha444 dende5 dende denden denden2 denden21 fenfen9 fenf619 fen619 fenfe9 fe619 sdf sdf sdf sdf sdf zhazh90 zhazh0 zhaa50 zha90 zh590 zho zhoz zhozh zhozho zhozho2 lislis lls95 lili95 lils5 liss9 sdf0ty987 sdft876 sdft9876 sdf09876 sd0t9876 sdf0ty98 sdf0976 sdf0ty986 sdf0ty96 sdf0t76 sdf0876 df0ty98 sf0t876 sd0ty76 sdy76 sdf76 sdf0t76 sdf0ty9 sdf0ty98 sdf0ty987 sdf0ty98 sdf6676 sdf876 sd876 sd876 sdf6 sdf6 sdf9876 sdf0t sdf06 sdf0ty9776 sdf0ty9776 sdf0ty76 sdf8876 sdf0t sd6 sdf06 s688876 sd688 sdf86