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<math xmlns='http://www.w3.org/1998/Math/MathML' mathematica:form='TraditionalForm' xmlns:mathematica='http://www.wolfram.com/XML/'> <semantics> <mrow> <mrow> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <msub> <mi> j </mi> <mn> 1 </mn> </msub> <mo> = </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </munderover> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <msub> <mi> j </mi> <mn> 2 </mn> </msub> <mo> = </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </mrow> <msub> <mi> &#963; </mi> <mn> 2 </mn> </msub> </munderover> <mrow> <mo> &#8230; </mo> <mo> &#8290; </mo> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <msub> <mi> j </mi> <mi> n </mi> </msub> <mo> = </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> </munderover> <mrow> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mrow> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> h </mi> <mo> = </mo> <mn> 10 </mn> </mrow> <mi> n </mi> </munderover> <msub> <mi> k </mi> <mi> h </mi> </msub> </mrow> <mo> - </mo> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> h </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </munderover> <msub> <mi> &#963; </mi> <mi> h </mi> </msub> </mrow> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> ; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> k </mi> <mi> n </mi> </msub> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mi> q </mi> </msub> </mrow> <mo> , </mo> <msub> <mi> &#963; </mi> <mi> q </mi> </msub> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mi> q </mi> </msub> <mo> ; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> q </mi> </msub> <mo> - </mo> <msub> <mi> k </mi> <mi> q </mi> </msub> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mi> q </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> k </mi> <mn> 2 </mn> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> k </mi> <mn> 0 </mn> </msub> </mrow> <mo> , </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> </mrow> </mrow> <mo> &#10869; </mo> <mrow> <msup> <mn> 2 </mn> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> ; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <mo> , </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mo> &#8230; </mo> <mo> &#8743; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> <mo> &#8804; </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> &#8804; </mo> <mo> &#8230; </mo> <mo> &#8804; </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> &#8804; </mo> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> </mrow> <mo> &#8743; </mo> <mrow> <mi> q </mi> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mrow> <mn> 0 </mn> <mo> &#8804; </mo> <mi> q </mi> <mo> &#8804; </mo> <mi> n </mi> </mrow> <mo> &#8743; </mo> <mrow> <mi> n </mi> <mo> &#8712; </mo> <msup> <mi> &#8469; </mi> <mo> + </mo> </msup> </mrow> </mrow> </mrow> <annotation-xml encoding='MathML-Content'> <mrow> <mrow> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <msub> <mi> j </mi> <mn> 1 </mn> </msub> <mo> = </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </munderover> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <msub> <mi> j </mi> <mn> 2 </mn> </msub> <mo> = </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </mrow> <msub> <mi> &#963; </mi> <mn> 2 </mn> </msub> </munderover> <mrow> <mo> &#8230; </mo> <mo> &#8290; </mo> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <msub> <mi> j </mi> <mi> n </mi> </msub> <mo> = </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> </munderover> <mrow> <msup> <mrow> <mo> ( </mo> <mrow> <mo> - </mo> <mn> 1 </mn> </mrow> <mo> ) </mo> </mrow> <mrow> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> h </mi> <mo> = </mo> <mn> 10 </mn> </mrow> <mi> n </mi> </munderover> <msub> <mi> k </mi> <mi> h </mi> </msub> </mrow> <mo> - </mo> <mrow> <munderover> <mo> &#8721; </mo> <mrow> <mi> h </mi> <mo> = </mo> <mn> 1 </mn> </mrow> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </munderover> <msub> <mi> &#963; </mi> <mi> h </mi> </msub> </mrow> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> ; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> k </mi> <mi> n </mi> </msub> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 2 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> + </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mi> q </mi> </msub> </mrow> <mo> , </mo> <msub> <mi> &#963; </mi> <mi> q </mi> </msub> </mrow> <mo> ) </mo> </mrow> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mi> q </mi> </msub> <mo> ; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> q </mi> </msub> <mo> - </mo> <msub> <mi> k </mi> <mi> q </mi> </msub> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mi> q </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> q </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> k </mi> <mn> 2 </mn> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> k </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> k </mi> <mn> 0 </mn> </msub> </mrow> <mo> , </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> </mrow> </mrow> </mrow> <mo> &#10869; </mo> <mrow> <msup> <mn> 2 </mn> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> </msup> <mo> &#8290; </mo> <mrow> <mo> ( </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> ; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> </mrow> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 2 </mn> </mrow> </msub> </mrow> <mo> , </mo> <mo> &#8230; </mo> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 2 </mn> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> </mrow> <mo> , </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> - </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <mo> , </mo> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> </mrow> <mo> ) </mo> </mrow> </mrow> </mrow> <mo> /; </mo> <mrow> <mrow> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mo> &#8230; </mo> <mo> &#8743; </mo> <mrow> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mrow> <msub> <mi> &#963; </mi> <mn> 0 </mn> </msub> <mo> &#8804; </mo> <msub> <mi> &#963; </mi> <mn> 1 </mn> </msub> <mo> &#8804; </mo> <mo> &#8230; </mo> <mo> &#8804; </mo> <msub> <mi> &#963; </mi> <mrow> <mi> n </mi> <mo> - </mo> <mn> 1 </mn> </mrow> </msub> <mo> &#8804; </mo> <msub> <mi> &#963; </mi> <mi> n </mi> </msub> </mrow> <mo> &#8743; </mo> <mrow> <mi> q </mi> <mo> &#8712; </mo> <mi> &#8469; </mi> </mrow> <mo> &#8743; </mo> <mrow> <mn> 0 </mn> <mo> &#8804; </mo> <mi> q </mi> <mo> &#8804; </mo> <mi> n </mi> </mrow> <mo> &#8743; </mo> <mrow> <mi> n </mi> <mo> &#8712; </mo> <msup> <mi> &#8469; </mi> <mo> + </mo> </msup> </mrow> </mrow> </mrow> </annotation-xml> </semantics> </math>

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2002-12-18