Laguerre type twice-iterated Appell polynomials

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.