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.

翻译：本文通过提取Mittag-Leffler多项式（MLP）的本质——即具有良好性质的实系数多项式——来对其进行研究。这些多项式在实轴上正交，而非MLP的虚轴正交。除递推关系与零点外，本文还将给出其傅里叶变换的闭式解。最重要的贡献在于新的微分性质，尤其是有限阶与无穷阶微分方程。