Results 51 to 60 of about 66,689 (211)
Quadratic symmetry of modified q-Euler polynomials
Advances in Difference Equations, 2018 We use the p-adic q-integral and group action to count the number of the generating functions of modified q-Euler polynomials in a prescribed set. Some generating function yields modified q-Euler polynomials with the isotropy group D4 $D_{4}$ and some ...
SangKi Choi +3 more
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Approximate Roots and Properties of Differential Equations for Degenerate q-Special Polynomials
Mathematics, 2023 In this paper, we generate new degenerate quantum Euler polynomials (DQE polynomials), which are related to both degenerate Euler polynomials and q-Euler polynomials.
Jung-Yoog Kang, Cheon-Seoung Ryoo
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Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems
Asian Journal of Control, EarlyView.Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal +2 more
wiley +1 more source
Note on the q-Extension of Barnes' Type Multiple Euler Polynomials
Journal of Inequalities and Applications, 2009 We construct the q-Euler numbers and polynomials of higher order, which are related to Barnes' type multiple Euler polynomials. We also derive many properties and formulae for our q-Euler polynomials of higher order by using the multiple integral ...
Leechae Jang +3 more
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Fourier expansion and integral representation generalized Apostol-type Frobenius–Euler polynomials
Advances in Difference Equations, 2020 The main purpose of this paper is to investigate the Fourier series representation of the generalized Apostol-type Frobenius–Euler polynomials, and using the above-mentioned series we find its integral representation.
Alejandro Urieles +3 more
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Invariant Measure and Universality of the 2D Yang–Mills Langevin Dynamic
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We prove that the Yang–Mills (YM) measure for the trivial principal bundle over the two‐dimensional torus, with any connected, compact structure group, is invariant for the associated renormalised Langevin dynamic. Our argument relies on a combination of regularity structures, lattice gauge‐fixing and Bourgain's method for invariant measures ...
Ilya Chevyrev, Hao Shen
wiley +1 more source
Some identities related to degenerate Bernoulli and degenerate Euler polynomials
Mathematical and Computer Modelling of Dynamical SystemsThe aim of this paper is to study degenerate Bernoulli and degenerate Euler polynomials and numbers and their higher-order analogues. We express the degenerate Euler polynomials in terms of the degenerate Bernoulli polynomials and vice versa.
Taekyun Kim +3 more
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On Multiple Interpolation Functions of the Nörlund-Type q-Euler Polynomials
Abstract and Applied Analysis, 2009 In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund-type q-Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q-zeta function.
Mehmet Acikgoz, Yilmaz Simsek
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On degenerate q-Euler polynomials [PDF]
Applied Mathematical Sciences, 2015 In this paper, we consider degenerate Carlitz's type q-Euler polynmials and numbers and we investigate some identities arising from the fermionic p-adic integral equations and the generating function of thoe polynomials.
Dolgy, Dmitry V. +3 more
openaire +2 more sources
Energy Science &Engineering, EarlyView.In this study, the key control mechanism of surrounding rock stability is revealed by theoretical analysis and UDEC‐Trigon numerical simulation method, aiming at the problem that oil shale roof is prone to separation and slip deformation under complex stress.
Jiang Xiao +5 more
wiley +1 more source