Abstract
In this paper, we investigate some properties of polynomials related to Sheffer sequences. Finally, we derive some identities of higher-order Frobenius-Euler polynomials.
Highlights
We investigate some properties of polynomials related to Sheffer sequences
Frobenius-Euler polynomials have never been studied in the context of umbral algebra and umbral calculus
Author details 1Department of Mathematics, Sogang University, Seoul, 121-742, Republic of Korea
Summary
The higher-order Frobenius-Euler polynomials are defined by the generating function to be X = , Hn(α)( |λ) = Hn(α)(λ) are called the nth Frobenius-Euler numbers of order α (∈ R). Let us define the λ-difference operator λ as follows: λf (x) = f (x + ) – λf (x). The Stirling numbers S(l, n) of the second kind are defined by the generating function to be et –
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
