We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
The Riordan–Dirichlet Group.
- Authors
Burlachenko, E. V.
- Abstract
Riordan matrices are infinite lower triangular matrices corresponing to certain operators in the space of formal power series. In the paper, we introduce analogous matrices for the space of Dirichlet formal series. It is shown that these matrices form a group, which is analogous to the Riordan group. An analog of the Lagrange inversion formula is given. As an example of the application of these matrices, a method for obtaining identities analogous to those obtained by using Riordan matrices is considered.
- Subjects
DIRICHLET series; POWER series; INVERSIONS (Geometry)
- Publication
Mathematical Notes, 2019, Vol 106, Issue 3/4, p514
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434619090219