New approach to q-Euler polynomials of higher order
نویسندگان
چکیده
منابع مشابه
Note on q-Extensions of Euler Numbers and Polynomials of Higher Order
In [14] Ozden-Simsek-Cangul constructed generating functions of higher-order twisted (h, q)-extension of Euler polynomials and numbers, by using p-adic q-deformed fermionic integral on Zp. By applying their generating functions, they derived the complete sums of products of the twisted (h, q)-extension of Euler polynomials and numbers, see[13, 14]. In this paper we cosider the new q-extension o...
متن کاملOn the Twisted q-Analogs of the Generalized Euler Numbers and Polynomials of Higher Order
Let p be an odd prime number. For n ∈ Z N ∪ {0}, let Cpn {ζ | ζpn 1} be the cyclic group of order p, and let Tp limn→∞Cpn ⋃ n≥0 Cpn Cp∞ be the space of locally constant functions in the p-adic number fieldCp. When one talks of q-extension, q is variously considered as an indeterminate, a complex number q ∈ C, or p-adic number q ∈ Cp. If q ∈ C, one normally assumes that |q| < 1. If q ∈ Cp, one n...
متن کاملIdentities of Symmetry for Generalized Higher - Order q - Euler Polynomials under S 3 Dmitry
This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Abstract In this paper, we study the identities of symmetry for the generalized higher-order q-Euler polynomials in three variable under symmetry group S 3 which are derived from the...
متن کاملGeneralized q-Euler Numbers and Polynomials of Higher Order and Some Theoretic Identities
Copyright q 2010 T. Kim and Y. H. Kim. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. We give a new construction of the q-Euler numbers and polynomials of higher order attached to Dirichlet's character χ. We derive some theoretic...
متن کاملON THE EXTENDED q-EULER NUMBERS AND POLYNOMIALS OF HIGHER-ORDER WITH WEIGHT
The purpose of this paper is to give a new construction of the extended q-Euler numbers and polynomials of higher-order with weight by using p-adic q-integral on Zp.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Russian Journal of Mathematical Physics
سال: 2010
ISSN: 1061-9208,1555-6638
DOI: 10.1134/s1061920810020068