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Truncated-exponential-based Frobenius–Euler polynomials

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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… Click to show full 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.

Keywords: truncated exponential; exponential based; frobenius euler; euler polynomials

Journal Title: Advances in Difference Equations
Year Published: 2019

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