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PDF-NormalizationNowthatwehaveorthogonalBesselfunctions,weseekorthonormalB PDF document

k2k02Substitutingka iandapplyinglHospitalsRuleyieldsZa0Jk2dlimk0kkaJk0aJ0 i k2k02a2 2J0 i2UsingtherecurrencerelationJxJ01x1 xJ1xwethenobtainZa0J

k2k02:Substitutingka= iandapplyingl'Hospital'sRuleyieldsZa0[J(k)]2d=limk0!kkaJ(k0a)J0( i) k2k02=a2 2[J0( i)]2:UsingtherecurrencerelationJ(x)=J01(x)+1 xJ1(x);wethenobtainZa0[J 

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