{"id":79638,"date":"2018-02-20T23:50:30","date_gmt":"2018-02-20T23:50:30","guid":{"rendered":"https:\/\/writemyessayfree.com\/proof-the-the-general-l"},"modified":"2017-08-18T07:36:31","modified_gmt":"2017-08-18T07:36:31","slug":"proof-the-the-general-l","status":"publish","type":"post","link":"https:\/\/www.benedictsol.com\/blogs\/proof-the-the-general-l\/","title":{"rendered":"proof the the general L"},"content":{"rendered":"<p>proof the the general L<br \/> Paper details:<br \/> for the question , please I need a full proof up to the general L-1 not only L=1 and m=0<br \/> Question : For ` ? 1, prove that K = 0 if<br \/> K =<br \/> X`??1<br \/> m=0<br \/> (??1)m+1<br \/> m!(2` ?? m)!<br \/> \u201d<br \/> (2` ?? m)Xm Y2`??m??1 + mXm??1 Y2`??m<br \/> #<br \/> +<br \/> X`??1<br \/> m=0<br \/> (??1)m+1<br \/> m!(2` ?? m)!<br \/> \u201d<br \/> (2` ?? m) Ym X2`??m??1 + mYm??1 X2`??m<br \/> #<br \/> + (??1)`+1 1<br \/> (`!)2Y`X`<br \/> 1<br \/> Proof of the General L<br \/> (Name)<br \/> (Institution)<br \/> K= ?_(m=0)^(l-1)\u00a6(-1^(m+1))\/(m!(2l-m)) [(2l-m)(xmy2l-m-1+ymx2l-m-1)+(mxm-1y2l-m+mym-1x2l-m)] + (-1)l+1 1\/((l!)^2)ylxl<\/p>\n<p>Relation recursion formula<\/p>\n<p>(-1)l+1 1\/((l!)^2)ylxl + K = [(2l-m)(xmy2l-m-1+ymx2l-m-1)+(mxm-1y2l-m+mym-1x2l-m)]<\/p>\n<p>Taking l=1 such that m=0K=0<br \/> Let l= 1, m=0<br \/> 1\/1 y1x1=- (x0y1+y0x1)<br \/> 1x-1=-1\u00d71+0x1<br \/> 1=1 hence k=0<br \/> Let l=2<br \/> (-1)\/4 y2x2 = (-1)\/6 (x0y3+y0x3)<br \/> (-1)\/4 2x-1 = (-1)\/6 (-1\u00d73+0x+1)<br \/> 1\/2 =1\/2<br \/> Hence k=0<br \/> L=3, m=0<br \/> 1\/36 x2y2 = 6\/720 x0y5 + y0x5<br \/> 1\/36 x2y2 = 1\/120 x0y5 + y0x5<br \/> K= \u00bd x2 (x0y2+y0x2) + \u00bc y1x1<br \/> Taking integrals of both sides<br \/> ?_0^(l-1)\u00a6?\u00bc y1x1 ?= ?_0^(l-1)(x0y2+y0x2)<br \/> = 1\/4 x y12x1\/4 = x0y22\/2 + x02 y2\/2 + y02x2\/2 + x22y0<\/p>\n","protected":false},"excerpt":{"rendered":"<p>proof the the general L Paper details: for the question , please I need a full proof up to the general L-1 not only L=1 and m=0 Question : For ` ? 1, prove that K = 0 if K <a href=\"https:\/\/www.benedictsol.com\/blogs\/proof-the-the-general-l\/\" class=\"read-more\">Read More &#8230;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[],"tags":[],"class_list":["post-79638","post","type-post","status-publish","format-standard","hentry"],"_links":{"self":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/79638","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/comments?post=79638"}],"version-history":[{"count":0,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/posts\/79638\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/media?parent=79638"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/categories?post=79638"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.benedictsol.com\/blogs\/wp-json\/wp\/v2\/tags?post=79638"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}