Abstract
In this paper, we study the higher-order Daehee polynomials of the second kind from the umbral calculus viewpoint and give various identities of the higher-order Daehee polynomials of the second kind arising from umbral calculus.
Highlights
The Daehee polynomials of the second kind of order k are defined by the generating function to be
We study the higher-order Daehee polynomials of the second kind with umbral calculus viewpoint and give various identities of the higher-order Daehee polynomials of the second kind arising from umbral calculus
Author details 1Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea
Summary
The Daehee polynomials of the second kind of order k are defined by the generating function to be When x = , D (nk) = D (nk)( ) are called the Daehee numbers of the second kind of order k. When x = , Hn(s)(λ) = Hn(s)(λ| ) are called the Frobenius-Euler numbers of order s. The Bernoulli polynomials of order k (∈ N) are defined by the generating function to be t et –
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