Kumam, WiyadaSrivastava, H.M.Wani, Shahid AhmadAraci, SerkanKumam, Poom2020-11-242020-11-2420192019Kumam, 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/s13662-019-2462-0https://doi.org/10.1186/s13662-019-2462-0http://hdl.handle.net/1828/12374In 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.enTruncated-exponential based polynomialsFrobenius–Euler polynomialsSummation formulasMonomiality principleQuasi-monmiality principleArticleDepartment of Mathematics and Statistics