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, NESLİHAN; ÖZARSLAN, MEHMET ALİ; and ÇEKİM, BAYRAM (2024) "Laguerre type twice-iterated Appell polynomials," Turkish Journal of Mathematics: Vol. 48: No. 2, Article 17. https://doi.org/10.55730/1300-0098.3511
Available at: https://journals.tubitak.gov.tr/math/vol48/iss2/17