Results 41 to 50 of about 225 (100)
On p-adic Hurwitz-type Euler zeta functions
, 2012 The definition for the p-adic Hurwitz-type Euler zeta functions has been given by using the fermionic p-adic integral on Zp. By computing the values of this kind of p-adic zeta function at negative integers, we show that it interpolates the Euler ...
Hu, Su, Kim, Min-Soo
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On the Identities of Symmetry for the ζ-Euler Polynomials of Higher Order
Advances in Difference Equations, 2009 The main purpose of this paper is to investigate several further interesting properties of symmetry for the multivariate p-adic fermionic integral on ℤp.
Taekyun Kim +2 more
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, 2020 International Conference on Numerical Analysis and Applied Mathematics 2019, ICNAAM 2019 -- 23 September 2019 through 28 September 2019----165330The aim of this paper is to analyze higher-order Peters-type combinatorial numbers and polynomials by means ...
Irem Kucukoglu, Küçükoğlu, İrem
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On the analogs of Euler numbers and polynomials associated with p-adic q-integral on Zp at q=−1
, 2007 The purpose of this paper is to construct λ-Euler numbers and polynomials by using fermionic expression of p-adic q-integral at q=−1. From these λ-Euler polynomials, we derive the harmonic sums of higher order. Finally, we investigate several interesting
Kim, Taekyun
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Multivariate p-Adic Fermionic q-Integral on ℤp and Related Multiple Zeta-Type Functions
Abstract and Applied Analysis, 2008 In 2008, Jang et al. constructed generating functions of the multiple twisted Carlitz's type q-Bernoulli polynomials and obtained the distribution relation for them.
Min-Soo Kim, Taekyun Kim, Jin-Woo Son
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, 2020 Simsek, Burcin/0000-0003-2857-6629; KUCUKOGLU, IREM/0000-0001-9100-2252The aim of this paper is to construct generating functions for new classes of Catalan-type numbers and polynomials.
Şimşek, Burçin +2 more
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Symmetric Identities for Fubini Polynomials
, 2018 In this paper, we represent the generating function of w-torsion Fubini polynomials by fermionic p-adic integral on Zp. Then we consider a quotient of such fermionic p-adic integrals on Zp, representing generating functions of three w-torsion Fubini ...
Dae San Kim +3 more
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Multivariate Interpolation Functions of Higher-Order q-Euler Numbers and Their Applications
Abstract and Applied Analysis, 2008 The aim of this paper, firstly, is to construct generating functions of q-Euler numbers and polynomials of higher order by applying the fermionic p-adic q-Volkenborn integral, secondly, to define multivariate q-Euler zeta function (Barnes-type Hurwitz q ...
Hacer Ozden +2 more
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, 2010 A systemic study of some families of -Genocchi numbers and families of polynomials of Nörlund type is presented by using the multivariate fermionic -adic integral on ℤ.
Seog-Hoon Rim +3 more
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, 2017 The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
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