The authors develop an R(p,q)-topological analysis framework including deformed Gamma functions, Banach and Frechet spaces, and analogues of Cauchy-Hadamard, Borel-Caratheodory, and Phragmen-Lindelof theorems for holomorphic functions.
(p,q)-Rogers-Szego polynomial and the (p,q)-oscillator
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abstract
A (p,q)-analogue of the classical Rogers-Szego polynomial is defined by replacing the q-binomial coefficient in it by the (p,q)-binomial coefficient. Exactly like the Rogers-Szego polynomial is associated with the q-oscillator algebra it is found that the (p,q)-Rogers-Szego polynomial is associated with the (p,q)-oscillator algebra.
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2026 1verdicts
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Topological analysis in $\mathcal{R}(p,q)-$anisotropic sector and nuclear space on $\mathcal{R}(p,q)-$quantum deformed algebra
The authors develop an R(p,q)-topological analysis framework including deformed Gamma functions, Banach and Frechet spaces, and analogues of Cauchy-Hadamard, Borel-Caratheodory, and Phragmen-Lindelof theorems for holomorphic functions.