Truncated-exponential-based Frobenius–Euler polynomials
Date
2019
Authors
Kumam, Wiyada
Srivastava, H.M.
Wani, Shahid Ahmad
Araci, Serkan
Kumam, Poom
Journal Title
Journal ISSN
Volume Title
Publisher
Advances in Difference Equations
Abstract
In this paper, we first introduce a new family of polynomials, which are called the
truncated-exponential based Frobenius–Euler polynomials, based upon an
exponential generating function. By making use of this exponential generating
function, we obtain their several new properties and explicit summation formulas.
Finally, we consider the truncated-exponential based Apostol-type Frobenius–Euler
polynomials and their quasi-monomial properties.
Description
Keywords
Truncated-exponential based polynomials, Frobenius–Euler polynomials, Summation formulas, Monomiality principle, Quasi-monmiality principle
Citation
Kumam, W., Srivastava, H. M., Wani, S. A., Araci, S., & Kumam, P. (2019). Truncated-exponential-based Frobenius–Euler polynomials. Advances in Difference Equations, 2019(1). https://doi.org/10.1186/s13662-019-2462-0