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.
R(p,q)-deformed combinatorics: full characterization and illustration
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
This paper addresses a theory of R(p,q)-deformed combinatorics in discrete probability. It mainly focuses on R(p,q)-deformed factorials, binomial coefficients, Vandermonde's formula, Cauchy's formula, binomial and negative binomial formulae, factorial and binomial moments, and Stirling numbers. Moreover, the R(p,q)-Stirling numbers of the second kind and the R(p,q)-Bell numbers for graphs are also derived. Related relevant properties are investigated and discussed. Finally, as a concrete illustration, the developed formalism is displayed for the well known generalized q-Quesne deformed quantum algebra to construct the corresponding deformed combinatorics, as a particular case.
fields
math.QA 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
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.