Laguerre type twice-iterated Appell polynomials

Authors

NESLİHAN BİRİCİKFollow
MEHMET ALİ ÖZARSLANFollow
BAYRAM ÇEKİMFollow

DOI

10.55730/1300-0098.3511

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.

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