Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6420508 | Applied Mathematics and Computation | 2015 | 15 Pages |
Abstract
We obtain the Mellin transforms of the generalized fractional integrals and derivatives that generalize the Riemann-Liouville and the Hadamard fractional integrals and derivatives. We also obtain interesting results, which combine generalized δr,m operators with generalized Stirling numbers and Lah numbers. For example, we show that δ1,1 corresponds to the Stirling numbers of the 2nd kind and δ2,1 corresponds to the unsigned Lah numbers. Further, we show that the two operators δr,m and δm,r,r,mâN, generate the same sequence given by the recurrence relation.S(n,k)=âi=0rm+(m-r)(n-2)+k-i-1r-iriS(n-1,k-i),0
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Udita N. Katugampola,