Abstract
We provide with a generalization of well known (p,q)-deformed Heisenberg algebras, called (R,p,q)-deformed quantum algebras, and study the corresponding (R,p,q)-series. A general formulation of the binomial theorem is given. Special functions are obtained as limit cases. This work well prolongs a previous work by Odzijewicz [Commun. Math. Phys. 192, 183 (1998)]. Known results in the literature are recovered.
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