More on deformed oscillator algebras and extended umbral calculus
Kwaśniewski, A. K., Grądzka, E.
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This paper deals with calculus which is an extension of finite operator calculus due to Rota, and leading results of Rota’s calculus are easily -extendable. The particular case is known to be relevant for quantum group investigations. It is shown here that such umbral calculus leads to infinitely many new -deformed quantum like oscillator algebra representations. The authors point to several references dealing with new applications of umbral and calculus in which new families...