Results 31 to 40 of about 7,952 (182)
Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers
Journal de théorie des nombres de Bordeaux, 2023 In this article, we introduce combinatorial models for poly-Bernoulli polynomials and poly-Euler numbers of both kinds. As their applications, we provide combinatorial proofs of some identities involving poly-Bernoulli polynomials.
Bényi, Beáta, Matsusaka, Toshiki
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Euler Numbers and polynomials associated with zeta functions [PDF]
, 2008 In this paper we give some interesting identities between Euler numbers and zeta functions.
Kim, Taekyun
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Duals of Bernoulli Numbers and Polynomials and Euler Number and Polynomials
, 2015 A sequence inverse relationship can be defined by a pair of infinite inverse matrices. If the pair of matrices are the same, they define a dual relationship. Here presented is a unified approach to construct dual relationships via pseudo-involution of Riordan arrays.
He, Tian-Xiao, Zheng, Jinze
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Journal of Applied Mathematics, 2013 Recently, many mathematicians have studied different kinds of the Euler, Bernoulli, and Genocchi numbers and polynomials. In this paper, we give another definition of polynomials Ũn(x).
J. Y. Kang, C. S. Ryoo
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Some New Identities on the Bernoulli and Euler Numbers
Discrete Dynamics in Nature and Society, 2011 We give some new identities on the Bernoulli and Euler numbers by using the bosonic p-adic integral on Zp and reflection symmetric properties of Bernoulli and Euler polynomials.
Dae San Kim +4 more
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New families of special numbers and polynomials arising from applications of p-adic q-integrals
Advances in Difference Equations, 2017 In this manuscript, generating functions are constructed for the new special families of polynomials and numbers using the p-adic q-integral technique. Partial derivative equations, functional equations and other properties of these generating functions ...
Daeyeoul Kim +3 more
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A Parametric Kind of Fubini Polynomials of a Complex Variable
Mathematics, 2020 In this paper, we propose a parametric kind of Fubini polynomials by defining the two specific generating functions. We also investigate some analytical properties (for example, summation formulae, differential formulae and relationships with other well ...
Sunil Kumar Sharma +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2022 The aim of this paper is to study new classes of degenerated generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials of order $\alpha$ and level $m$ in the variable $x$. Here the degenerate polynomials are a natural extension of the
W. Ramírez, C. Cesarano
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General Convolution Identities for Bernoulli and Euler Polynomials
, 2015 Using general identities for difference operators, as well as a technique of symbolic computation and tools from probability theory, we derive very general kth order (k \ge 2) convolution identities for Bernoulli and Euler polynomials.
Dilcher, K., Vignat, C.
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Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System
International Journal of Mechanical System Dynamics, EarlyView.ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley +1 more source