Green function on the quantum plane

Abstract

Green function (which can be called the q-analogous of the Hankel function) on the quantum plane E_q^2= E_q(2)/U(1) is constructed.

8 pages

References in corpus (2)

• Free q-Schrodinger Equation from Homogeneous Spaces of the 2-dim Euclidean Quantum Group
• Green Function on the q-Symmetric Space SU_q(2)/U(1)

Cited by in corpus (3)

• Unitary representations of the 2-dimensional Euclidean group in the Heisenberg algebra
• Representations of SU(1,1) in Non-commutative Space Generated by the Heisenberg Algebra
• Summation Formulas for the product of the q-Kummer Functions from $E_q(2)$