The two-dimensional Euclidean algebra provides an algebraic setting for q-Bessel functions. Using a two-variable realization of this algebra, q analogs of the Lommel and Graf addition formulas for the q-Bessel functions are obtained.
机构:
ST PETERSBURG STATE UNIV, INST PHYS, DEPT MATH & COMPUTAT PHYS, ST PETERSBURG 198904, RUSSIAST PETERSBURG STATE UNIV, INST PHYS, DEPT MATH & COMPUTAT PHYS, ST PETERSBURG 198904, RUSSIA