变形Mittag-Leffler多项式
Deformed Mittag-Leffler Polynomials
AI总结：
基于实数广义整数幂和变形指数函数，通过生成函数引入变形Mittag-Leffler多项式，研究其递推关系、微分性质和正交性，并考虑与之相关的具有实零点的实多项式。
摘要：
本文的出发点是H. Bateman [1]引入的Mittag-Leffler多项式。基于实数的广义整数幂和变形指数函数，我们通过适当的生成函数引入了变形Mittag-Leffler多项式。我们研究了它们的递推关系、微分性质和正交性。由于它们的所有零点都在虚轴上，我们还考虑了与之相关的具有实零点的实多项式。
英文摘要：
The starting point of this paper are the Mittag-Leffler polynomials introduced by H. Bateman [1]. Based on generalized integer powers of real numbers and deformed exponential function, we introduce deformed Mittag-Leffler polynomials defined by appropriate generating function. We investigate their recurrence relations, differential properties and orthogonality. Since they have all zeros on imaginary axes, we also consider real polynomials with real zeros associated to them.
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