  This paper deals with the Mittag-Leffler polynomials (MLP) by extracting
their essence which consists of real polynomials with fine properties. They are
orthogonal on the real line instead of the imaginary axes for MLP. Beside
recurrence relations and zeros, we will point to the closed form of its Fourier
transform. The most important contribution consists of the new differential
properties, especially the finite and infinite differential equation.
