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- https://doi.org/10.55730/1300-0098.3511
Laguerre type twice-iterated Appell polynomials
- Mar 8, 2024
- Turkish Journal of Mathematics
- Nesli̇han Bi̇ri̇ci̇k +2 more
Abstract
In this study, we use discrete Appell convolution to define the sequence of Laguerre type twice-iterated Appell polynomials. We obtain explicit representation, recurrence relation, determinantal representation, lowering operator, integro-partial raising operator and integro-partial differential equation. In addition, the special cases of this new family are investigated using Euler and Bernoulli numbers. We also state their corresponding characteristic properties.