Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials
Classical Analysis and ODEs
2024-02-13 v1 Numerical Analysis
Numerical Analysis
Abstract
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.
Keywords
Cite
@article{arxiv.2402.07795,
title = {Finite and infinite order differential properties of the reduced Mittag--Leffler polynomials},
author = {Predrag M. Rajković and Sladjana D. Marinković and Miomir S. Stanković and Marko D. Petković},
journal= {arXiv preprint arXiv:2402.07795},
year = {2024}
}