Results 31 to 40 of about 781 (209)
Hermite Polynomials and their Applications Associated withBernoulli and Euler Numbers [PDF]
Discrete Dynamics in Nature and Society, 2012 We derive some interesting identities and arithmetic properties of Bernoulli and Euler polynomials from the orthogonality of Hermite polynomials. LetPn= {p(x) ∈ℚ[x]∣deg p(x) ≤n} be the (n+ 1)‐dimensional vector space overℚ. Then we show that {H0(x),H1(x), …,Hn(x)} is a good basis for the spacePnfor our purpose of arithmetical and combinatorial ...
Dae San Kim +3 more
openaire +2 more sources
A Note on Some Identities of Frobenius-Euler Numbers and Polynomials [PDF]
International Journal of Mathematics and Mathematical Sciences, 2012 The purpose of this paper is to give some identities on the Frobenius-Euler numbers and polynomials by using the fermionicp-adicq-integral equation onℤp.
Jongsoung Choi +3 more
openaire +3 more sources
A Note on Type 2 Degenerate q-Euler Polynomials
Mathematics, 2019 Recently, type 2 degenerate Euler polynomials and type 2 q-Euler polynomials were studied, respectively, as degenerate versions of the type 2 Euler polynomials as well as a q-analog of the type 2 Euler polynomials.
Taekyun Kim +3 more
doaj +1 more source
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
doaj +1 more source
Special Numbers and Polynomials Including Their Generating Functions in Umbral Analysis Methods
Axioms, 2018 In this paper, by applying umbral calculus methods to generating functions for the combinatorial numbers and the Apostol type polynomials and numbers of order k, we derive some identities and relations including the combinatorial numbers, the Apostol ...
Yilmaz Simsek
doaj +1 more source
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
doaj +1 more source
Advances in Difference Equations, 2019 In recent years, studying degenerate versions of various special polynomials and numbers has attracted many mathematicians. Here we introduce degenerate type 2 Bernoulli polynomials, fully degenerate type 2 Bernoulli polynomials, and degenerate type 2 ...
Dae San Kim +3 more
doaj +1 more source
Advanced Science, EarlyView.This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source
Various Types of q-Differential Equations of Higher Order for q-Euler and q-Genocchi Polynomials
Mathematics, 2022 One finds several q-differential equations of a higher order for q-Euler polynomials and q-Genocchi polynomials. Additionally, we have a few q-differential equations of a higher order, which are mixed with q-Euler numbers and q-Genocchi polynomials ...
Cheon-Seoung Ryoo, Jung-Yoog Kang
doaj +1 more source
Synchronization of Analog Neuron Circuits With Digital Memristive Synapses: An Hybrid Approach
Advanced Electronic Materials, EarlyView.An hybrid circuit mimicking neural units coupled using memristive synapses is introduced. The analog neurons provide flexibility and robustness, and the digital memristive coupling guarantees the full reconfigurability of the interconnection. The onset of a synchronized spiking behavior in two circuits mimicking the Izhikevich neuron is discussed from ...
Lamberto Carnazza +3 more
wiley +1 more source