Abstract
This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials. We define the multiparameter higher order Daehee numbers and polynomials of the first and second kind. Moreover, we derive some new results for these numbers and polynomials. The relations between these numbers and Stirling and Bernoulli numbers are obtained. Furthermore, some interesting special cases of the generalized higher order Daehee and Bernoulli numbers and polynomials are deduced.
Highlights
This paper gives a new generalization of higher order Daehee and Bernoulli numbers and polynomials
We derive some new results for these numbers and polynomials
The multiparameter higher order Daehee numbers of the first kind Dn(k;α),r are defined by n−1
Summary
The n-th Daehee polynomials are defined by [1]-[9]. For k ∈ , the Bernoulli polynomials of order k are defined by, see [1] [11] [12] [13],. Wh= en x 0= , Bn(k) Bn(k) (0) are called the Bernoulli numbers of order k. Where s (n, k ) are the Stirling numbers of the first kind, see [1] [10]. The relations between these numbers and Stirling and Bernoulli numbers are obtained
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