Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4635801 | Applied Mathematics and Computation | 2007 | 7 Pages |
Abstract
Let f be a Câ function on R and P be a quadratic form defined by P(x)=P(x1,x2,â¦,xm)=x12+â¯+xp2-xp+12-â¯-xp+q2 with p + q = m. In this paper, we mainly show thatf(P)·δ(k)(P)=âi=0kkif(i)(0)δ(k-i)(P),where δ(k)(P) is given by(δ(k)(P),Ï)=(-1)kâ«0ââ2rârkrp-2Ï(r,s)2r=ssq-1ds.In particular, we havePn·δ(k)(P)=n!knδ(k-n)(P)ifk⩾n,0ifk
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
M.A. Aguirre, C.K. Li,