AbstractUsing random variables as motivation, this paper presents an exposition of formalisms developed in [1,2] for the classical umbral calculus. A new construction and a variety of examples are presented, culminating in several descriptions of sequences of binomial type in terms of umbral polynomials
Following the approach of Rota and Taylor, we present an innovative theory of Sheffer sequences in w...
Extending the rigorous presentation of the classical umbral calculus given by Rota and Taylor in 199...
AbstractSome important properties of the chromatic polynomial also hold for any polynomial set map s...
AbstractRota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial ...
Rota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial objects....
Finkelshtein D, Kondratiev Y, Lytvynov E, Oliveira MJ. An infinite dimensional umbral calculus. JOUR...
AbstractWe present some standard results in the theory of polynomials of binomial type from a differ...
AbstractTextRecently, R. Dere and Y. Simsek have studied applications of umbral algebra to generatin...
We find all sequences of polynomials (pn)n¿0with persistent roots (i.e.,pn(x)=cn(x-r1)(x-r2)···(x-rn...
AbstractWe find all sequences of polynomials (pn)n⩾0with persistent roots (i.e.,pn(x)=cn(x−r1)(x−r2)...
AbstractWe study cumulants by Umbral Calculus. Various formulae expressing cumulants by umbral funct...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
The title of the paper refers to the Fubini Lecture “Twelve problems in probability no one likes to ...
In this paper, by applying umbral calculus methods to generating functions for the combinatorial num...
Following the approach of Rota and Taylor, we present an innovative theory of Sheffer sequences in w...
Extending the rigorous presentation of the classical umbral calculus given by Rota and Taylor in 199...
AbstractSome important properties of the chromatic polynomial also hold for any polynomial set map s...
AbstractRota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial ...
Rota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial objects....
Finkelshtein D, Kondratiev Y, Lytvynov E, Oliveira MJ. An infinite dimensional umbral calculus. JOUR...
AbstractWe present some standard results in the theory of polynomials of binomial type from a differ...
AbstractTextRecently, R. Dere and Y. Simsek have studied applications of umbral algebra to generatin...
We find all sequences of polynomials (pn)n¿0with persistent roots (i.e.,pn(x)=cn(x-r1)(x-r2)···(x-rn...
AbstractWe find all sequences of polynomials (pn)n⩾0with persistent roots (i.e.,pn(x)=cn(x−r1)(x−r2)...
AbstractWe study cumulants by Umbral Calculus. Various formulae expressing cumulants by umbral funct...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
The title of the paper refers to the Fubini Lecture “Twelve problems in probability no one likes to ...
In this paper, by applying umbral calculus methods to generating functions for the combinatorial num...
Following the approach of Rota and Taylor, we present an innovative theory of Sheffer sequences in w...
Extending the rigorous presentation of the classical umbral calculus given by Rota and Taylor in 199...
AbstractSome important properties of the chromatic polynomial also hold for any polynomial set map s...