Laguerre type twice-iterated Appell polynomials

Authors

NESLİHAN BİRİCİKFollow
MEHMET ALİ ÖZARSLANFollow
BAYRAM ÇEKİMFollow

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.

DOI

10.55730/1300-0098.3511

Keywords

differential equation, Laguerre type Appell polynomials, recurrence relation, shift operators

First Page

360

Last Page

376

Recommended Citation

BİRİCİK, N, ÖZARSLAN, M, & ÇEKİM, B (2024). Laguerre type twice-iterated Appell polynomials. Turkish Journal of Mathematics 48 (2): 360-376. https://doi.org/10.55730/1300-0098.3511