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381075

On the families of q-Euler polynomials and their applications

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Last updated: 29 Dec 2024

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Abstract

In this paper, we focus on applications of q-Euler polynomials and obtain some new
combinatorial relations by using p-adic q-integral on Zp. Moreover, we derive distribution formula
(Multiplication Theorem) for Dirichlet type of q-Euler numbers and polynomials with weight a.
Also we apply the method of analytic continuation of q-Euler polynomials which is the main result
of this paper.

DOI

10.1016/j.joems.2014.03.002

Keywords

Euler numbers and polynomials, q-Euler numbers and polynomials, Weighted q-Euler numbers and polynomials, Weighted q-Euler-Zeta function, p-adic q-integral on Zp

Authors

First Name

Serkan

Last Name

Araci

MiddleName

-

Affiliation

Faculty of Economics, Administrative and Social Sciences, Hasan Kalyoncu University, 27410 Gaziantep, Turkey

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Orcid

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First Name

Mehmet

Last Name

Acikgoz

MiddleName

-

Affiliation

University of Gaziantep, Faculty of Science and Arts, Department of Mathematics, 27310 Gaziantep, Turkey

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Orcid

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First Name

Hassan

Last Name

Jolany

MiddleName

-

Affiliation

School of Mathematics, Statistics and Computer Science, University of Tehran, Iran

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Volume

23

Article Issue

1

Related Issue

50465

Issue Date

2015-04-01

Receive Date

2024-09-22

Publish Date

2015-04-01

Page Start

1

Page End

5

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 23_Issue 1_Pages 1-5.pdf

PDF . 447.2kB

Link

https://joems.journals.ekb.eg/article_381075.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381075

Order

381,075

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

On the families of q-Euler polynomials and their applications

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Article

Created At

21 Dec 2024