Results 41 to 50 of about 219,144 (225)
, 2022 The aim of this paper is to give generating functions for parametrically generalized polynomials that are related to the combinatorial numbers, the Bernoulli polynomials and numbers, the Euler polynomials and numbers, the cosine-Bernoulli polynomials ...
Abdelmejid Bayad +3 more
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A Note on Euler Numbers and Polynomials [PDF]
Nagoya Mathematical Journal, 1954 Let Em denote the Euler number in the even suffix notation so that(1.1) where, as usual, after expansion of the left member Er is replaced by Er. Nielsen [4, p. 273] has proved that(1.2)
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On type 2 degenerate Bernoulli and Euler polynomials of complex variable
Advances in Difference Equations, 2019 Recently, Masjed-Jamei, Beyki, and Koepf studied the so-called new type Euler polynomials without using Euler polynomials of complex variable. Here we study the type 2 degenerate cosine-Euler and type 2 degenerate sine-Euler polynomials, which are type 2
Taekyun Kim +3 more
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On the Roots of Orthogonal Polynomials and Euler-Frobenius Polynomials
Journal of Mathematical Analysis and Applications, 1995 Consider a family of polynomials recursively defined by \(P_0 (x) = x^l\) \((l\) any nonnegative integer) and \[ c_{n + 1} P_{n + 1} (x) = - 2r_n xP_n (x) + (1 - x^2) P_n' (x), \quad n \geq 0, \] where \(r_n > 0\) and \(c_n \in \mathbb{R}\backslash\{0\}\). For example, ultraspherical and Euler-Frobenius polynomials verify this scheme.
Dubeau, F., Savoie, J.
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Force–Displacement Characterization of PNIPAM Microactuators
Advanced Robotics Research, EarlyView.A method to experimentally establish a force–displacement diagram of poly(N‐isopropyl acrylamide) (PNIPAM) microactuators, printed by 2PP, is presented herein. PNIPAM is a hydrogel whose volume and stiffness change with temperature due to the absorption or release of water.
Manon Cassignol +4 more
wiley +1 more source
Duals of the Bernoulli Numbers and Polynomials and the Euler Numbers and Polynomials
Integers, 2017 See the abstract in the attached pdf.
Tian-Xiao He, Jinze Zheng
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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
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Multiple Twisted q-Euler Numbers and Polynomials Associated with p-Adic q-Integrals
Advances in Difference Equations, 2008 By using p-adic q-integrals on ℤp, we define multiple twisted q-Euler numbers and polynomials. We also find Witt's type formula for multiple twisted q-Euler numbers and discuss some characterizations of multiple twisted q-Euler Zeta functions.
Lee-Chae Jang
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Derivative Polynomials, Euler Polynomials, and Associated Integer Sequences [PDF]
The Electronic Journal of Combinatorics, 1999 Let $P_n$ and $Q_n$ be the polynomials obtained by repeated differentiation of the tangent and secant functions respectively. From the exponential generating functions of these polynomials we develop relations among their values, which are then applied to various numerical sequences which occur as values of the $P_n$ and $Q_n$.
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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
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