5 citations · 6 across the 5 of their papers we have counts for
5 papers
On Riordan groups involving formal semi-Laurent series and their Lie group structure
Dariusz Bugajewski, Dawid Bugajewski, Xiao-Xiong Gan +1
The main goal of this paper is to introduce and to investigate properties of generalized Riordan arrays and generalized Riordan groups that involve formal semi-Laurent series. In p…
A fixed point theorem for mappings in partial metric spaces
Dariusz Bugajewski, Piotr Maćkowiak
In this paper we are going to prove a very general fixed point theorem for mappings acting in partial metric spaces. In that theorem we impose some conditions on behavior of consid…
On the recursive and explicit form of the general J.C.P. Miller formula with applications
Dariusz Bugajewski, Dawid Bugajewski, Xiao-Xiong Gan +1
The famous J.C.P. Miller formula provides a recurrence algorithm for the composition , where is the formal binomial series and is a formal power series, howe…
On composition and Right Distributive Law for formal power series of multiple variables
Dariusz Bugajewski, Alessia Galimberti, Piotr Maćkowiak
In the first part of the paper we prove a necessary and sufficient condition for the existence of the composition of formal power series in the case when the outer series is a seri…
On compactness and fixed point theorems in partial metric spaces
Dariusz Bugajewski, Piotr Maćkowiak, Ruidong Wang
In this paper we examine two basic topological properties of partial metric spaces, namely compactness and completeness. Our main result claims that in these spaces compactness is…