Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1710-55
Keywords
Appell polynomials, Laguerre polynomials, Laguerre-Appell polynomials, fractional calculus, operational rules, determinant definition
First Page
1686
Last Page
1697
Recommended Citation
KHAN, S, & WANI, S. A (2018). Extended Laguerre-Appell polynomials via fractional operators and their determinant forms. Turkish Journal of Mathematics 42 (4): 1686-1697. https://doi.org/10.3906/mat-1710-55