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