( q , μ ) and (p,q,ζ)-exponential functions: Rogers–Szegő polynomials and Fourier–Gauss transform
DOI10.1063/1.3498685zbMath1314.81107arXiv1008.1351OpenAlexW3102835185MaRDI QIDQ5253986
Mahouton Norbert Hounkonnou, Elvis Benzo Ngompe Nkouankam
Publication date: 5 June 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.1351
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Applications of Lie (super)algebras to physics, etc. (17B81) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Exponential and trigonometric functions (33B10)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On \((p,q,\alpha,\beta, l\))-deformed oscillator and its generalized quantum Heisenberg-Weyl algebra
- Quantum algebras and \(q\)-special functions
- \(q\)-gamma and \(q\)-beta functions in quantum algebra representation theory
- On the Askey-Wilson and Rogers Polynomials
- The Addition Formula for Littleq-Legendre Polynomials and the ${\operatorname{SU}}(2)$ Quantum Group
- A (p, q)-oscillator realization of two-parameter quantum algebras
- Addition formulas for q-Bessel functions
- A note on (p, q)-oscillators and bibasic hypergeometric functions
- The Wigner function associated with the Rogers-Szegö polynomials
- More on the q-oscillator algebra and q-orthogonal polynomials
- On the Rogers-Szego polynomials
- A quantum algebra approach to basic multivariable special functions
- Hilbert spaces of analytic functions and generalized coherent states
This page was built for publication: ( q , μ ) and (p,q,ζ)-exponential functions: Rogers–Szegő polynomials and Fourier–Gauss transform
