The Modified q-Euler numbers and polynomials

By Taekyun Kim. 2007

62 citations recorded by the source corpus.

In the recent paper the interesting q-Euler numbers and polynomials introduced in JMAA. The purpose of this paper is to construct the modified q-Euler numbers and polynomiasl. Finally we will give the interesting many identities related to these numbers and polynomials.

Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics

View Paper: https://www.semanticscholar.org/paper/54f04ed0adfd18507cdfb17057c9670d47cf3fcb

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In Algebra and Number Theory

In Discrete Mathematics and Combinatorics

Citations in the corpus

Complete sum of products of (h, q)-extension of Euler polynomials and numbers (2010, background): “Recently, twisted (h,q)-Bernoulli and Euler numbers and polynomials were studied by several authors cf.(see [15], [4], [20], [21], [22], [ 14 ], [13], [16]).”
Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on ℤp (2009, background): “Let w1 (> 1) be an odd positive integer, and let n ∈ Z+ with n ≡ 1( mod 2). As is known [ 5 ],”
A note on p-adic q-Euler measure (2007, background): “n n! , see [ 1 ], [2], [3], [4], [5], [6]. In the recent paper [3], the q-extension of Euler numbers are defined inductively by”
A Note on the-Genocchi Numbers and Polynomials (2007, methodology): “�l,qqlx[x]n−l q , see [ 10 ]. In the recent several authors studied the q-extension of Genocchi numbers and polynomials (see[ 1, 2, 5, 6, 7, 12]).”
Note on the Euler Numbers and Polynomials (2008, background): “n=0 En t n! , for |t| ≤ π, (see [1-31]), are known as the Euler numbers.”