Truncated-exponential-based Frobenius–Euler polynomials

Advances in Difference Equations

卷:2019

Serkan Araci¹  Hari Mohan Srivastava²  Shahid Ahmad Wani³  Poom Kumam⁴  Wiyada Kumam⁵ 

[1] Department of Economics, Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University;

[2] Department of Mathematics and Statistics, University of Victoria;

[3] Department of Mathematics, Central University of Kashmir;

[4] Department of Medical Research, China Medical University Hospital, China Medical University;

[5] Program in Applied Statistics, Department of Mathematics and Computer Science, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT);

关键词: Truncated-exponential based polynomials;    Frobenius–Euler polynomials;    Summation formulas;    Monomiality principle;    Quasi-monmiality principle;   

DOI  :  10.1186/s13662-019-2462-0

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown