A Simple Generalization of Euler Numbers and Polynomials


Affiliations

  • Rowan University, Department of Mathematics, 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

Subject Discipline

Mathematical Sciences

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References

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L. J. Mordell, The Sign of the Bernoulli Numbers, The American Mathematical Monthly, Vol. 80, No. 5 (May, 1973), pp. 547-548

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D. C. Vella. Explicit Formula for Bernoulli and Euler Numbers, Integers: Electronic Journal of Combinatorial Number Theory, Vol. 8(1) (2008), #A01

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