On the (r,q)-bernoulli and (r,q)-euler numbers and polynomials

Joung Hee Jin; Toufik Mansour; Eun Jung Moon; Jin Woo Park

On the (r,q)-bernoulli and (r,q)-euler numbers and polynomials

Joung Hee Jin, Toufik Mansour, Eun Jung Moon, Jin Woo Park

Department of Mathematics

University of Haifa

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we construct new extension of q-Bernoulli and q-Euler numbers and polynomials. These results are generalizations for several well known identities on q-Bernoulli and q-Euler numbers and polynomials, and Carlitz’s q-Bernoulli numbers.

Original language	American English
Pages (from-to)	250-259
Number of pages	10
Journal	Journal of Computational Analysis and Applications
Volume	19
Issue number	2
State	Published - Aug 2015

Keywords

Bernoulli numbers
Bernoulli polynomials
Carliz’s q-Bernoulli numbers
Euler numbers
Euler polynomials

All Science Journal Classification (ASJC) codes

Computational Mathematics

Cite this

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title = "On the (r,q)-bernoulli and (r,q)-euler numbers and polynomials",

abstract = "In this paper, we construct new extension of q-Bernoulli and q-Euler numbers and polynomials. These results are generalizations for several well known identities on q-Bernoulli and q-Euler numbers and polynomials, and Carlitz{\textquoteright}s q-Bernoulli numbers.",

keywords = "Bernoulli numbers, Bernoulli polynomials, Carliz{\textquoteright}s q-Bernoulli numbers, Euler numbers, Euler polynomials",

author = "Jin, {Joung Hee} and Toufik Mansour and Moon, {Eun Jung} and Park, {Jin Woo}",

year = "2015",

month = aug,

language = "American English",

volume = "19",

pages = "250--259",

journal = "Journal of Computational Analysis and Applications",

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T1 - On the (r,q)-bernoulli and (r,q)-euler numbers and polynomials

AU - Jin, Joung Hee

AU - Mansour, Toufik

AU - Moon, Eun Jung

AU - Park, Jin Woo

PY - 2015/8

Y1 - 2015/8

N2 - In this paper, we construct new extension of q-Bernoulli and q-Euler numbers and polynomials. These results are generalizations for several well known identities on q-Bernoulli and q-Euler numbers and polynomials, and Carlitz’s q-Bernoulli numbers.

AB - In this paper, we construct new extension of q-Bernoulli and q-Euler numbers and polynomials. These results are generalizations for several well known identities on q-Bernoulli and q-Euler numbers and polynomials, and Carlitz’s q-Bernoulli numbers.

KW - Bernoulli numbers

KW - Bernoulli polynomials

KW - Carliz’s q-Bernoulli numbers

KW - Euler numbers

KW - Euler polynomials

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M3 - Article

SN - 1521-1398

VL - 19

SP - 250

EP - 259

JO - Journal of Computational Analysis and Applications

JF - Journal of Computational Analysis and Applications

IS - 2

ER -

On the (r,q)-bernoulli and (r,q)-euler numbers and polynomials

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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Cite this