Open Access
Subscription Access
Open Access
Subscription Access
A Simple Generalization of Euler Numbers and Polynomials
Subscribe/Renew Journal
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.
Subscription
Login to verify subscription
User
Font Size
Information
- L. Carlitz and R. Scoville, The Sign of the Bernoulli and Euler Numbers, The American Mathematical Monthly, Vol. 80, No. 5 (May, 1973), pp. 548-549
- L. J. Mordell, The Sign of the Bernoulli Numbers, The American Mathematical Monthly, Vol. 80, No. 5 (May, 1973), pp. 547-548
- H.D. Nguyen and L.C. Cheong, New Convolution Identities for Hypergeometric Bernoulli Polynomials, J. Number Theory 137 (2014), pp. 201-221.
- D. C. Vella. Explicit Formula for Bernoulli and Euler Numbers, Integers: Electronic Journal of Combinatorial Number Theory, Vol. 8(1) (2008), #A01
- K. J. Wu, Z. W. Sun and H. Pan, Some identities for Bernoulli and Euler polynomials, Fibonacci Quart. 42 (2004), pp. 295- 299.
Abstract Views: 304
PDF Views: 5