Polyanalytic function theory extends the classical theory of holomorphic functions by encompassing functions that satisfy higher‐order generalisations of the Cauchy–Riemann equations. This broader ...
The polynomial-solutions of the self-adjoint differential equations $D\left[ {\exp \left( { - x_1^{2k}} \right)Dy} \right] + \lambda {x^{2k - 2}}\exp \left( { - {x ...