3 citations · 8 across the 7 of their papers we have counts for
8 papers
Classification of operator extensions, monad liftings and distributive laws for differential algebras and Rota-Baxter algebras
Shilong Zhang, Li Guo, William Keigher
Generalizing the algebraic formulation of the First Fundamental Theorem of Calculus (FFTC), a class of constraints involving a pair of operators was considered in \cite{ZGK2}. For…
Extensions of Operators, Liftings of Monads and Distributive Laws
Li Guo, William Keigher, Shilong Zhang
In a previous study, the algebraic formulation of the First Fundamental Theorem of Calculus (FFTC) is shown to allow extensions of differential and Rota-Baxter operators on the one…
Monads and distributive laws for Rota-Baxter and differential algebras
Li Guo, William Keigher, Shilong Zhang
In recent years, algebraic studies of the differential calculus and integral calculus in the forms of differential algebra and Rota-Baxter algebra have been merged together to refl…
Linear differential equations and Hurwitz series
William F. Keigher, V. Ravi Srinivasan
In this article, we study the set of all solutions of linear differential equations using Hurwitz series. We first obtain explicit recursive expressions for solutions of such equat…
On Differential Rota-Baxter Algebras
Li Guo, William Keigher
A Rota-Baxter operator of weight is an abstraction of both the integral operator (when ) and the summation operator (when ). We similarly define a differential operat…
Baxter Algebras and Hopf Algebras
George E. Andrews, Li Guo, William Keigher +1
By applying a recent construction of free Baxter algebras, we obtain a new class of Hopf algebras that generalizes the classical divided power Hopf algebra. We also study condition…