Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900184 | Journal of Mathematical Analysis and Applications | 2018 | 6 Pages |
Abstract
Let k and n be integers with 0â¤kâ¤n and pâ(0,1). We prove that the functionG(a)=Gk,n,p(a)=Î(an+1)Î(ak+1)Î(a(nâk)+1)pak(1âp)a(nâk) is completely monotonic on (0,â). This extends a result of Leblanc and Johnson, who showed in 2007 that the sequence {G(j)}j=1â is decreasing.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Horst Alzer,