Higher-order twisted q-Euler polynomials and numbers

Daeyeoul Kim; Min Soo Kim; Taekyun Kim

Higher-order twisted q-Euler polynomials and numbers

Daeyeoul Kim^*
, Min Soo Kim
, Taekyun Kim

^*Corresponding author for this work

Department of Mathematics

National Institute for Mathematical Sciences
Korea Advanced Institute of Science and Technology
Kwangwoon University

Research output: Contribution to journal › Journal article › peer-review

3 Scopus citations

Abstract

The main purpose of this paper is to present explicit formulas for the g-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on ℤ_p. By using these formulas, we give a relation between the multiple twisted Hurwitz g-zeta function ζ_q^(k)λ(s, x) and the multiple twisted two-variable q-l-function l_q^(k)λ(s,x,Χ). We also derive the values of ζ_q^(k)λ(s,x) and l_q^(k)λ(x,x,Χ) at s = 0, -1,....

Original language	English
Pages (from-to)	265-277
Number of pages	13
Journal	Proceedings of the Jangjeon Mathematical Society
Volume	13
Issue number	2
State	Published - 2010.07

Keywords

Higher order twisted Euler numbers and polynomials
Multiple twisted Hurwitz g-zeta functions
Multiple twisted p-adic Euler q-J-functions
p-adic g-integrals

Cite this

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title = "Higher-order twisted q-Euler polynomials and numbers",

abstract = "The main purpose of this paper is to present explicit formulas for the g-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on ℤp. By using these formulas, we give a relation between the multiple twisted Hurwitz g-zeta function ζq(k)λ(s, x) and the multiple twisted two-variable q-l-function lq(k)λ(s,x,Χ). We also derive the values of ζq(k)λ(s,x) and lq(k)λ(x,x,Χ) at s = 0, -1,....",

keywords = "Higher order twisted Euler numbers and polynomials, Multiple twisted Hurwitz g-zeta functions, Multiple twisted p-adic Euler q-J-functions, p-adic g-integrals",

author = "Daeyeoul Kim and Kim, \{Min Soo\} and Taekyun Kim",

year = "2010",

month = jul,

language = "English",

volume = "13",

pages = "265--277",

journal = "Proceedings of the Jangjeon Mathematical Society",

issn = "1598-7264",

number = "2",

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TY - JOUR

T1 - Higher-order twisted q-Euler polynomials and numbers

AU - Kim, Daeyeoul

AU - Kim, Min Soo

AU - Kim, Taekyun

PY - 2010/7

Y1 - 2010/7

N2 - The main purpose of this paper is to present explicit formulas for the g-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on ℤp. By using these formulas, we give a relation between the multiple twisted Hurwitz g-zeta function ζq(k)λ(s, x) and the multiple twisted two-variable q-l-function lq(k)λ(s,x,Χ). We also derive the values of ζq(k)λ(s,x) and lq(k)λ(x,x,Χ) at s = 0, -1,....

AB - The main purpose of this paper is to present explicit formulas for the g-analogue of higher order twisted Euler numbers and polynomials using the fermionic p-adic q-integral on ℤp. By using these formulas, we give a relation between the multiple twisted Hurwitz g-zeta function ζq(k)λ(s, x) and the multiple twisted two-variable q-l-function lq(k)λ(s,x,Χ). We also derive the values of ζq(k)λ(s,x) and lq(k)λ(x,x,Χ) at s = 0, -1,....

KW - Higher order twisted Euler numbers and polynomials

KW - Multiple twisted Hurwitz g-zeta functions

KW - Multiple twisted p-adic Euler q-J-functions

KW - p-adic g-integrals

UR - https://www.scopus.com/pages/publications/77955543939

M3 - Journal article

AN - SCOPUS:77955543939

SN - 1598-7264

VL - 13

SP - 265

EP - 277

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

IS - 2

ER -

Higher-order twisted q-Euler polynomials and numbers

Abstract

Keywords

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