Extended Laguerre-Appell polynomials via fractional operators and their determinant forms

Authors

SUBUHI KHAN
SHAHID AHMAD WANI

DOI

10.3906/mat-1710-55

Abstract

In this article, the extended form of Laguerre-Appell polynomials is introduced by means of generating function and operational definition. The corresponding results for the extended Laguerre-Bernoulli and Laguerre-Euler polynomials are obtained as applications. Further, the determinant forms of these polynomials are established by using operational techniques.

Keywords

Appell polynomials, Laguerre polynomials, Laguerre-Appell polynomials, fractional calculus, operational rules, determinant definition

First Page

1686

Last Page

1697

Recommended Citation

KHAN, SUBUHI and WANI, SHAHID AHMAD (2018) "Extended Laguerre-Appell polynomials via fractional operators and their determinant forms," Turkish Journal of Mathematics: Vol. 42: No. 4, Article 11. https://doi.org/10.3906/mat-1710-55
Available at: https://journals.tubitak.gov.tr/math/vol42/iss4/11