AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in particular to q-umbral calculus, which shows how Andrews' q-theory relates to the q-theory discussed in the previous paper by the author. The q-Hermite polynomials and basic hypergeometric series are briefly discussed
Our aim is to present new proofs of some results from q- Calculus. These results occur in many appli...
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
We develop a new method of umbral nature to treat blocks of Hermite and of Hermite like polynomials ...
AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
We present a variety of q-formulas linked together by the q-umbral calculus introduced here, equival...
The q-calculus is reformulated in terms of the umbral calculus and of the associated operational for...
We derive numerous identities for multivariate q- Euler polynomials by using the umbral calculus
summary:The paper deals with extensions of the finite operator calculus of G.-C. Rota called $\psi$-...
In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usu...
summary:This paper deals with $\varphi(q)$ calculus which is an extension of finite operator calculu...
In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-c...
This book covers different aspects of umbral calculus and of its more recent developments. It discus...
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform ...
In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, cha...
Our aim is to present new proofs of some results from q- Calculus. These results occur in many appli...
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
We develop a new method of umbral nature to treat blocks of Hermite and of Hermite like polynomials ...
AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
We present a variety of q-formulas linked together by the q-umbral calculus introduced here, equival...
The q-calculus is reformulated in terms of the umbral calculus and of the associated operational for...
We derive numerous identities for multivariate q- Euler polynomials by using the umbral calculus
summary:The paper deals with extensions of the finite operator calculus of G.-C. Rota called $\psi$-...
In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usu...
summary:This paper deals with $\varphi(q)$ calculus which is an extension of finite operator calculu...
In this thesis we explore the concept of q-calculus and its generalisation. We begin by defining q-c...
This book covers different aspects of umbral calculus and of its more recent developments. It discus...
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform ...
In this paper, we develop the theory of the multiple q-analogue of the Heine's binomial formula, cha...
Our aim is to present new proofs of some results from q- Calculus. These results occur in many appli...
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
We develop a new method of umbral nature to treat blocks of Hermite and of Hermite like polynomials ...
DOI
Add to ORKG