Authors: | Stanković, Miomir Marinković, Slađana Rajković, Predrag |
Title: | The deformed and modified Mittag-Leffler polynomials | Journal: | Mathematical and Computer Modelling | Volume: | 54 | Issue: | 1-2 | First page: | 721 | Last page: | 728 | Issue Date: | 1-Jul-2011 | Rank: | M21 | ISSN: | 0895-7177 | DOI: | 10.1016/j.mcm.2011.03.016 | Abstract: | The starting point of this paper are the Mittag-Leffler polynomials investigated in details by Bateman (1940) in [4]. Based on generalized integer powers of real numbers and deformed exponential functions, we introduce deformed Mittag-Leffler polynomials defined by the appropriate generating function. We investigate their recurrence relations, hypergeometric representation and orthogonality. Since they have all zeros on the imaginary axes, we also consider real polynomials with real zeros associated to them. |
Keywords: | Generating function | Orthogonality | Polynomial sequence | Recurrence relation | Publisher: | Elsevier |
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