Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4633824 | Applied Mathematics and Computation | 2009 | 5 Pages |
Abstract
In this article, the operator â¢Bk is introduced and named as the Bessel diamond operator iterated k-times and is defined byâ¢Bk=[(Bx1+Bx2+â¯+Bxp)2-(Bxp+1+â¯+Bxp+q)2]kwhere p+q=n,Bxi=â2âxi2+2vixiââxi, 2vi=2αi+1, αi>-12 [8], xi>0,i=1,2,â¦,n,k is a nonnegative integer and n is the dimension of the Rn+. In this work, we study the elementary solution of the operator â¢Bk and this elementary solution is called the Bessel diamond kernel of Riesz. Then, we study the B-convolution of this elementary solution.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Mehmet Zeki Sarikaya, Hüseyin Yildirim,