Add to ORKGsummary:The paper deals with extensions of the finite operator calculus of G.-C. Rota called $\psi$-extensions which give a framework for corresponding quantum group investigations. This also covers the instance of the well-known $q$-analogue of umbral calculus. The article also contains glossaries of the most important terms and notations used by Ward, Viskov, Markowsky and Roman on one side and the Rota-oriented notations on the other side
The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special...
We provide an alternative approach to the Faddeev–Reshetikhin–Takhtajan presentation of the quantum ...
The q-calculus is reformulated in terms of the umbral calculus and of the associated operational for...
summary:The paper deals with extensions of the finite operator calculus of G.-C. Rota called $\psi$-...
summary:This paper deals with $\varphi(q)$ calculus which is an extension of finite operator calculu...
summary:The author develops a $q$-analogue of Rota's finite operator calculus in enumerative combina...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in...
In this paper, we define a q-deformation of the Dirac operator as a generalization of the one dimens...
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
The main algebraic foundations of quantum mechanics are quickly reviewed. They have been s...
We extend, to the quantum domain, the results obtained in [Nucl. Phys. B 885 (2014) 150] and [Phys. ...
We extend the recently developed Riesz–Clifford monogenic functional calculus (based on Clifford ana...
AbstractWe lay the foundations for the Umbral Transfer-Matrix Method, based on Gian-Carlo Rota's sem...
summary:From the text: The author reviews recent research on quantum deformations of the Poincar\'e ...
The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special...
We provide an alternative approach to the Faddeev–Reshetikhin–Takhtajan presentation of the quantum ...
The q-calculus is reformulated in terms of the umbral calculus and of the associated operational for...
summary:The paper deals with extensions of the finite operator calculus of G.-C. Rota called $\psi$-...
summary:This paper deals with $\varphi(q)$ calculus which is an extension of finite operator calculu...
summary:The author develops a $q$-analogue of Rota's finite operator calculus in enumerative combina...
AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many ...
AbstractThe interrelationship between distinct umbral calculi is studied. These ideas are applied in...
In this paper, we define a q-deformation of the Dirac operator as a generalization of the one dimens...
We survey the mathematical literature on umbral calculus (otherwise known as the calculus of finite ...
The main algebraic foundations of quantum mechanics are quickly reviewed. They have been s...
We extend, to the quantum domain, the results obtained in [Nucl. Phys. B 885 (2014) 150] and [Phys. ...
We extend the recently developed Riesz–Clifford monogenic functional calculus (based on Clifford ana...
AbstractWe lay the foundations for the Umbral Transfer-Matrix Method, based on Gian-Carlo Rota's sem...
summary:From the text: The author reviews recent research on quantum deformations of the Poincar\'e ...
The thesis is aimed at a thorough exposition of the Umbral Method, relevant in the theory of special...
We provide an alternative approach to the Faddeev–Reshetikhin–Takhtajan presentation of the quantum ...
The q-calculus is reformulated in terms of the umbral calculus and of the associated operational for...