On the modified q-Euler polynomials with weight

Seog-Hoon Rim, Jin-Woo Park, Jongkyum Kwon, Sung-Soo Pyo

Type: Article

Publication Date: 2013-12-01

Citations: 5

DOI: https://doi.org/10.1186/1687-1847-2013-356

Abstract

Abstract In this paper, we construct a new q -extension of Euler numbers and polynomials with weight related to fermionic p -adic q -integral on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> and give new explicit formulas related to these numbers and polynomials.

Locations

Advances in Difference Equations - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Extended q-euler numbers and polynomials associated with fermionic p-adic q-integral on Z p	2007	T. Kim Juhwan Choi J. Y. Sug
+ PDF Chat	On the Higher-Order<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>q</mml:mi></mml:mrow></mml:math>-Euler Numbers and Polynomials with Weight<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>α</mml:mi></mml:mrow></mml:math>	2011	Kyung-Won Hwang D. V. Dolgy T. Kim S. H. Lee
+	On the modified q-Euler polynomials with weight and weak weights	2014	Jin-Woo Park
+ PDF Chat	On a degenerate q-Euler polynomials and numbers with weight	2019	Guhyun Na Yunju Cho Jin-Woo Park
+ PDF Chat	ON THE EXTENDED q-EULER NUMBERS AND POLYNOMIALS OF HIGHER-ORDER WITH WEIGHT	2012	Hyun-Mee Kim Jongsung Choi Taekyun Kim
+ PDF Chat	On the Modified q-Euler Numbers and Polynomials withWeak Weight 0	2014	Jin-Woo Park Seog-Hoon Rim Sung-Soo Pyo Jongkyum Kwon
+	A note on p-adic q-integrals associated with q-Euler numbers	2007	Taekyun Kim
+	On the analogs of Euler numbers and polynomials associated with p-adic q-integral on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:math> at <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:mi>q</mml:mi><mml:mo>=</mml:mo><mml:mo>−</mml:mo><mml:mn>1</mml:mn></mml:math>	2006	Taekyun Kim
+ PDF Chat	A NOTE ON THE q-ANALOGUES OF EULER NUMBERS AND POLYNOMIALS	2011	J. Choi Tae Kyun Kim Young‐Hee Kim
+ PDF Chat	A RELATION OF GENERALIZED q-ω-EULER NUMBERS AND POLYNOMIALS	2017	Min Ji Park Young-Rok Kim Hui Young Lee
+ PDF Chat	A NOTE ON THE q-EULER NUMBERS AND POLYNOMIALS WITH WEIGHT (α,ω)	2012	Seog-Hoon Rim Joo-Hee Jeong
+	A note on p-adic q-Euler measure	2007	Hacer Özden Yılmaz Şimşek İsmail Naci Cangül S.H. Rim
+ PDF Chat	Some identities on the generalized q-Euler polynomials with weak weight	2013	C. S. Ryoo
+ PDF Chat	SOME IDENTITIES ON THE BERNSTEIN POLYNOMIALS AND TWISTED $q$-EULER POLYNOMIALS WITH WEAK WEIGHT $\alpha$	2013	C. S. Ryoo
+	Some symmetric identities on higher order q-Euler polynomials and multivariate fermionic p-adic q-integral on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="double-struck">Z</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>	2013	Daeyeoul Kim Min-Soo Kim
+	Note on q-extensions of Euler numbers and polynomials of higher order	2007	Taekyun Kim Lee-Chae Jang Cheon-Seoung Ryoo
+ PDF Chat	Note on q-Extensions of Euler Numbers and Polynomials of Higher Order	2008	Taekyun Kim Lee-Chae Jang Cheon-Seoung Ryoo
+ PDF Chat	q-DEDEKIND-TYPE DAEHEE-CHANGHEE SUMS WITH WEIGHT α ASSOCIATED WITH MODIFIED q-EULER POLYNOMIALS WITH WEIGHT α	2014	Jong Jin Seo Serkan Aracı Mehmet Açıkgöz
+ PDF Chat	Some Properties on the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-Euler Numbers and Polynomials	2012	T. Kim S.-H. Lee
+	Some identities on the higher-order-twisted q-Euler numbers and polynomials with weight a	2012	Hui Young Lee Nam Jung Jung Yoog Kang C. S. Ryoo

Works That Cite This (5)

Action	Title	Year	Authors
+	The modified q-Genocchi numbers and polynomials with applications to q-zeta functions	2024	Armen Bagdasaryan Serkan Aracı Erkan Ağyüz Mehmet Açıkgöz
+	New extension of q-Bernoulli polynomials with weight	2014	Jin-Woo Park
+	New extension of q-Bernoulli polynomials	2014	Jin-Woo Park
+ PDF Chat	Applications of degenerate q-Euler and q-Changhee polynomials with weight α	2022	Ömer Duran Neşe Ömür Sibel Koparal
+ PDF Chat	A note on type 2 q-Bernoulli and type 2 q-Euler polynomials	2019	Dae San Kim Taekyun Kim Han Young Kim Jongkyum Kwon

Works Cited by This (22)

Action	Title	Year	Authors
+	A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials	2012	Serkan Aracı Mehmet Açíkgöz
+ PDF Chat	On p-adic interpolating function associated with modified Dirichlet's type of twisted q-Euler numbers and polynomials with weight α	2013	Serkan Aracı Mehmet Açíkgöz Hassan Jolany
+	On the weighted q-Bernoulli numbers and polynomials	2010	Taekyun Kim
+	Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials	2009	Taekyun Kim
+	Twisted Dedekind Type Sums Associated with Barnes' Type Multiple Frobenius-Euler l-Functions	2007	Mehmet Cenkci Yılmaz Şimşek Mümün Can Veli Kurt
+	The Modified q-Euler numbers and polynomials	2007	T. Kim
+	Identities of symmetry for higher-order Euler polynomials in three variables (II)	2011	Dae San Kim Nari Lee Jiyoung Na Kyoung Ho Park
+	Multiple two-variable p-adic q-L-function and its behavior at s = 0	2008	Mehmet Cenkci Yılmaz Şimşek Veli Kurt
+	Symmetry of power sum polynomials and multivariate fermionic p-adic invariant integral on ℤ p	2009	T. Kim
+	On the extended Kimʼs p -adic q -deformed fermionic integrals in the p -adic integer ring	2013	Serkan Aracı Mehmet Açıkgöz Erdoğan Şen