The aim of this paper is to derive some new identities related to the Frobenius-Euler polynomials. We also give relation between the generalized Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative integers. Furthermore, our results give generalized Carliz’s results which are associated with Frobenius-Euler polynomials.
16 January 2012 in Integral Transforms and Special Functions
The main purpose of this paper is to construct generating functions for some families of Genocchi type polynomials. By applying the derivative operator to these generating functions, we define a function which interpolates these polynomials at negative integers. Among other results, we prove a multiplication theorem for these polynomials. Furthermore, we give several other identities and applications associated with these and related polynomials and their interpolation functions.
1 June 2012 in Integral Transforms and Special Functions
(2012). Some families of Genocchi type polynomials and their interpolation functions. Integral Transforms and Special Functions: Vol. 23, No. 12, pp. 939-940.
The main subject of this study is to define and investigate for the Apostol type Frobenius-Euler polynomials. We give some identities for these polynomials. We generalize the Srivastava-Pintér addition theorems between the Bernoulli polynomials and Apostol type Frobenius-Euler polynomials
18 May 2018 in Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas
The aim of this paper is to define and investigate a new generating functions of the Frobenious‐Euler polynomials and numbers. We establish some fundamental properties of these numbers and polynomials. We also derive relationship between these polynomials and Hermite‐Apostol‐Bernoulli polynomials and numbers. We also give some remarks and applications.