Generalization of Q-apostol-type eulerian numbers and polynomials, and their interpolation functions

Küçük Resim Yok

Tarih

2015

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Jangjeon Mathematical Society

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In a recent paper [16], generating functions in terms of non-negative real parameters, q-Eulerian type polynomials and numbers (or q-Apostol type Frobenius-Euler numbers and polynomials) have been constructed by Y. Simsek. Additionally, some identities for these polynomials and numbers based on the generating functions and functional equations have been derived. Finally, a multiplication formula for the generalized Apostol type Frobenius-Euler polynomials has been given. In this paper, as a continuing study of [16], we will essentially present generalizations of the above material and, differently from aforementioned paper, we will express the interpolation functions related to these numbers and polynomials.

Açıklama

Anahtar Kelimeler

Euler numbers, Frobenius-Euler numbers, Frobenius-Euler polynomials, Generating function, Q-Frobenius-Euler polynomials, Q-series

Kaynak

Advanced Studies in Contemporary Mathematics (Kyungshang)

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

25

Sayı

2

Künye