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Certain Properties and Characterizations of Two-Iterated Two-Dimensional Appell and Related Polynomials via Fractional Operators.
- Source :
- Fractal & Fractional; Jul2024, Vol. 8 Issue 7, p382, 15p
- Publication Year :
- 2024
-
Abstract
- This paper introduces the operational rule for 2-iterated 2D Appell polynomials and derives its generalized form using fractional operators. It also presents the generating relation and explicit forms that characterize the generalized 2-iterated 2D Appell polynomials. Additionally, it establishes the monomiality principle for these polynomials and obtains their recurrence relations. The paper also establishes corresponding results for the generalized 2-iterated 2D Bernoulli, 2-iterated 2D Euler, and 2-iterated 2D Genocchi polynomials. [ABSTRACT FROM AUTHOR]
- Subjects :
- POLYNOMIALS
Subjects
Details
- Language :
- English
- ISSN :
- 25043110
- Volume :
- 8
- Issue :
- 7
- Database :
- Complementary Index
- Journal :
- Fractal & Fractional
- Publication Type :
- Academic Journal
- Accession number :
- 178694490
- Full Text :
- https://doi.org/10.3390/fractalfract8070382