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math.QA1998
Quantum Analogue of the Neumann Function of Integer Order
H. Ahmedov, I. H. Duru
q-Neumann function of integer order N_n(x,q) is obtained and some of its properties are given. q-Psi function which is used in deriving N_n(x,q) is also introduced and some of its…
math.QA1998
Analysis on the 2-Dim Quantum Poincare` Group at Roots of Unity
H. Ahmedov
2-Dim quantum Poincare` Group E_q(1,1) at roots of unity, its dual U_q(e(1,1)) and some of its homogeneous spaces are introduced. Invariant integrals on E_q(1,1) and its invariant…
math.QA1998
Uncertainty Relations and Wave Packets on the Quantum Plane
H. Ahmedov, I. H. Duru
(2+2)-dimensional quantum mechanical q-phase space which is the semi-direct product of the quantum plane E_q(2)/U(1) and its dual algebra e_q(2)/u(1) is constructed. Commutation an…