²é¿´: 1616  |  »Ø¸´: 6
µ±Ç°Ö»ÏÔʾÂú×ãÖ¸¶¨Ìõ¼þµÄ»ØÌû£¬µã»÷ÕâÀï²é¿´±¾»°ÌâµÄËùÓлØÌû

hppdyx

ľ³æ (ÖªÃû×÷¼Ò)

[ÇóÖú] ºº¿Ë¶ûº¯ÊýÎÊÌâ

Èçͼ£º
ºº¿Ë¶ûº¯ÊýÎÊÌâ
ÎÒµÄÒÉÎÊÊÇÓÉÓÚalpha^2=lamda£¬µ«ÊÇʵ¼Ê¼ÆËãÖУ¬alphaÊÇÈ¡ -sqrt(lamda)£¬»¹ÊÇÈ¡ sqrt(lamda)£¿Çó½â»ó
»Ø¸´´ËÂ¥

» ²ÂÄãϲ»¶

» ±¾Ö÷ÌâÏà¹Ø¼ÛÖµÌùÍÆ¼ö£¬¶ÔÄúͬÑùÓаïÖú:

²»ÒÔ·çɧ¾ªÌìÏ£¬µ«ÇóÒùµ´¶¯ÊÀÈË
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hank612

ÖÁ×ðľ³æ (ÖøÃûдÊÖ)

https://people.math.osu.edu/gerlach.1/math/BVtypset/node122.html

ÎÒ¾õµÃ£¨²»±£Ö¤ÕýÈ·£¬ÒòΪÎÒ²»»á£© Hankel functionµÄ²ÎÊýÒªÇó
0 <=  arg (alpha*x) < pi, »á²»»áÓÃÕâ¸öÌõ¼þÀ´Ñ¡Ôñƽ·½¸ùµÄ·ÖÖ§°¡£¿

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

We_must_know. We_will_know.
3Â¥2014-05-28 12:54:16
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
²é¿´È«²¿ 7 ¸ö»Ø´ð

feixiaolin

ÈÙÓþ°æÖ÷ (ÎÄ̳¾«Ó¢)

ÓÅÐã°æÖ÷

Õâ¸ö¸ø  @Hank612  
×îºÃÁË¡£

» ±¾ÌûÒÑ»ñµÃµÄºì»¨£¨×îÐÂ10¶ä£©

2Â¥2014-05-28 12:47:44
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hppdyx

ľ³æ (ÖªÃû×÷¼Ò)

Ëͺ컨һ¶ä
ÒýÓûØÌû:
2Â¥: Originally posted by feixiaolin at 2014-05-28 12:47:44
Õâ¸ö¸ø  @Hank612  
×îºÃÁË¡£

лл¹þ

[ ·¢×ÔСľ³æ¿Í»§¶Ë ]
²»ÒÔ·çɧ¾ªÌìÏ£¬µ«ÇóÒùµ´¶¯ÊÀÈË
4Â¥2014-05-28 13:02:12
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû

hppdyx

ľ³æ (ÖªÃû×÷¼Ò)

Ëͺ컨һ¶ä
ÒýÓûØÌû:
3Â¥: Originally posted by hank612 at 2014-05-28 12:54:16
https://people.math.osu.edu/gerlach.1/math/BVtypset/node122.html

ÎÒ¾õµÃ£¨²»±£Ö¤ÕýÈ·£¬ÒòΪÎÒ²»»á£© Hankel functionµÄ²ÎÊýÒªÇó
0 <=  arg (alpha*x) < pi, »á²»»áÓÃÕâ¸öÌõ¼þÀ´Ñ¡Ôñƽ·½¸ùµÄ·ÖÖ§°¡£¿...

ºÃµÄ£¬·Ç³£¸Ðл£¡ÎÒÔÙ¿´¿´ÊDz»ÊÇ

[ ·¢×ÔСľ³æ¿Í»§¶Ë ]
²»ÒÔ·çɧ¾ªÌìÏ£¬µ«ÇóÒùµ´¶¯ÊÀÈË
5Â¥2014-05-28 13:03:03
ÒÑÔÄ   »Ø¸´´ËÂ¥   ¹Ø×¢TA ¸øTA·¢ÏûÏ¢ ËÍTAºì»¨ TAµÄ»ØÌû
×î¾ßÈËÆøÈÈÌûÍÆ¼ö [²é¿´È«²¿] ×÷Õß »Ø/¿´ ×îºó·¢±í
[»ù½ðÉêÇë] ͶƱ:  ÓжàÉÙÈËÊǽñÌì²éϵͳ֪µÀ½á¹ûµÄ£¿ +16 °®¿´ÊéµÄ¿ÉÀÖ 2026-08-26 18/900 2026-08-28 05:13 by winsaint
[˶²©¼ÒÔ°] ÊÛSCIÒ»ÇøÎÄÕ£¬ÎÒ:8O5.5.1.O5.4,¿ÆÄ¿È«,¿ÉÙ¤¼± +3 XLGfUIdOmEAO 2026-08-27 3/150 2026-08-28 00:49 by 3RAFyYXYSwGS
[»ù½ðÉêÇë] ÄÄλ¸ßÈËÖÐÁË£¬°Ñ²éѯµ½µÄ½ØÍ¼Ìù³öÀ´ÈÃÎÒ¿´¿´£¬ÈÃÎÒ³¤³¤¼ûʶ +5 yuleib84 2026-08-26 6/300 2026-08-28 00:02 by yudaoqian88
[»ù½ðÉêÇë] ÃæÉϺÏ×÷µ¥Î»¸ÇÕ +5 ssyjh 2026-08-27 5/250 2026-08-27 20:50 by gdfollow
[½Ìʦ֮¼Ò] µ¼Ê¦Í²ۣºÎÒÔõô̯ÉÏÁËÕâô¸ö¼«Æ·Ñо¿Éú£¡ +7 ËÕ¶«ÆÂ¶þÊÀ 2026-08-23 7/350 2026-08-27 18:14 by ˲ϢÓîÖæ
[»ù½ðÉêÇë] ÉêÇëɾ³ý±¾Ìû +6 lyz123lyz 2026-08-27 7/350 2026-08-27 17:31 by Äþ¾²ÖÂÔ¶sy
[»ù½ðÉêÇë] »ù½ð²»ÖУ¬¹²Ãã +10 eulota 2026-08-26 10/500 2026-08-27 17:23 by lqllinqiaoli
[»ù½ðÉêÇë] »ù½ðδÖУ¬ÕâÖÖ´ð¸´ÊÇÄ£°åÂ𣿠+5 zhaosm1982 2026-08-27 6/300 2026-08-27 16:00 by lfy8008
[»ù½ðÉêÇë] ¿´°åÉÏÕâô¶àÖеģ¬ÓеãÏñ50ÈËȺÀï49¸öÈ˶¼ÊÇÆ­×ÓµÄÄÇÖָоõ¡­¡­ +5 a089 2026-08-26 6/300 2026-08-27 14:05 by jonewore
[»ù½ðÉêÇë] Ϊʲô ¹ú¼Ê(µØÇø)ºÏ×÷Óë½»Á÷ÏîÄ¿ ûÓзŰñ£¿ 10+3 majunge000 2026-08-26 11/550 2026-08-27 08:42 by ±±¾©À³Òð±à¼­
[»ù½ðÉêÇë] ÎÒ²»Àí½â£¡ +15 Edward_pc 2026-08-26 23/1150 2026-08-26 20:34 by zzuzxg
[»ù½ðÉêÇë] 2026ÄêµÄ¹ú¼ÒÉç¿Æ»ù½ðÏîĿͨѶÆÀÉóµÄйæÔòÓëж¯Ïò¡¢ÐÂÌôÕ½ +7 process2012 2026-08-23 10/500 2026-08-26 19:23 by hmhminy
[»ù½ðÉêÇë] 2026¹ú×ÔÈ»º¯ÆÀ·Ñµ½ÕË +22 ÑòÑü°å 2026-08-21 25/1250 2026-08-26 15:00 by zuocuiping
[»ù½ðÉêÇë] ÄÜ·ñÍ˳ö²ÎÓëµÄÃæÉÏÏîÄ¿½â³ýÏÞÏî +23 koalala 2026-08-24 26/1300 2026-08-26 14:29 by ±¦±´³æ×Ó
[»ù½ðÉêÇë] ½ñÌìÎñί»á¿ªÍêÁË£¬Ã÷Ìì³ö½á¹ûÂð +19 angus9576 2026-08-25 23/1150 2026-08-26 10:03 by zp519
[Ö°³¡ÈËÉú] ѧÉúײ¼û¸¨µ¼Ô±ËÍÍâÂô£¬µÚ¶þÌìÈ«°à¶¼³ÁĬÁË +3 ¾¨ÓãÈÚ½ð_Õã½­_É 2026-08-22 3/150 2026-08-26 09:01 by zzuzxg
[»ù½ðÉêÇë] Ã÷ÌìÓ¦¸Ã¿É²éÁË£¡£¿ +6 chengyan1220 2026-08-23 6/300 2026-08-25 19:45 by zfd97
[»ù½ðÉêÇë] ûÓÐÈκÎÏûÏ¢-ÊDz»ÊǾÍÁ¹ÁË +9 ͼÀ²Í¼À² 2026-08-24 10/500 2026-08-25 11:59 by ÄϺ£Ð¡¸ç
[»ù½ðÉêÇë] ½¨Òé»ù½ð·¢²¼Ìáǰ¸ø³öÃ÷È·µÄʱ¼äµã +13 kulium 2026-08-21 16/800 2026-08-24 16:27 by superceng
[»ù½ðÉêÇë] Ó¦¸ÃÊÇÏÂÖÜÈý26ÈÕ¹«²¼Á˰ɣ¿ +4 ¹þ¹þ¸ò£¿ 2026-08-21 4/200 2026-08-21 10:58 by Vivilian
ÐÅÏ¢Ìáʾ
ÇëÌî´¦ÀíÒâ¼û