AbstractWe apply recent constructions of free Baxter algebras to the study of the umbral calculus. We give a characterization of the umbral calculus in terms of the Baxter algebra. This characterization leads to a natural generalization of the umbral calculus that includes the classical umbral calculus in a family of λ-umbral calculi parameterized by λ in the base ring
The title of the paper refers to the Fubini Lecture “Twelve problems in probability no one likes to ...
AbstractProf. Rota's problem on finding the explicit representation of an umbral operator is solved
We introduce a generalization of parametrized Rota-Baxter algebras, which includes family and matchi...
AbstractWe apply recent constructions of free Baxter algebras to the study of the umbral calculus. W...
AbstractRota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial ...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
AbstractThe study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue ...
AbstractA Baxter algebra is a commutative algebra A together with a linear operator P such that P(ab...
AbstractWe provide an algebraic setting for cumulants and factorial moments via the classical umbral...
Rota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial objects....
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
AbstractUsing random variables as motivation, this paper presents an exposition of formalisms develo...
AbstractTextRecently, R. Dere and Y. Simsek have studied applications of umbral algebra to generatin...
AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in...
AbstractWe study cumulants by Umbral Calculus. Various formulae expressing cumulants by umbral funct...
The title of the paper refers to the Fubini Lecture “Twelve problems in probability no one likes to ...
AbstractProf. Rota's problem on finding the explicit representation of an umbral operator is solved
We introduce a generalization of parametrized Rota-Baxter algebras, which includes family and matchi...
AbstractWe apply recent constructions of free Baxter algebras to the study of the umbral calculus. W...
AbstractRota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial ...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
AbstractThe study of free Baxter algebras was started by Rota and Cartier 30 years ago. We continue ...
AbstractA Baxter algebra is a commutative algebra A together with a linear operator P such that P(ab...
AbstractWe provide an algebraic setting for cumulants and factorial moments via the classical umbral...
Rota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial objects....
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
AbstractUsing random variables as motivation, this paper presents an exposition of formalisms develo...
AbstractTextRecently, R. Dere and Y. Simsek have studied applications of umbral algebra to generatin...
AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in...
AbstractWe study cumulants by Umbral Calculus. Various formulae expressing cumulants by umbral funct...
The title of the paper refers to the Fubini Lecture “Twelve problems in probability no one likes to ...
AbstractProf. Rota's problem on finding the explicit representation of an umbral operator is solved
We introduce a generalization of parametrized Rota-Baxter algebras, which includes family and matchi...
DOI
Add to ORKG