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A Simple Generalization of Euler Numbers and Polynomials


Affiliations
1 Department of Mathematics, Rowan University, Glassboro, NJ 08028, United States
     

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In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers.

Keywords

Euler Numbers, Euler Polynomials.
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  • A Simple Generalization of Euler Numbers and Polynomials

Abstract Views: 309  |  PDF Views: 5

Authors

Abdul Hassen
Department of Mathematics, Rowan University, Glassboro, NJ 08028, United States
Christopher R. Ernst
Department of Mathematics, Rowan University, Glassboro, NJ 08028, United States

Abstract


In this article, we shall consider a generalization of Euler's numbers and polynomials based on modifying the corresponding generating function. We shall prove some recurrence relations, an explicit formula, and multiplicative properties of the generalized numbers.

Keywords


Euler Numbers, Euler Polynomials.

References