Results 51 to 60 of about 572,208 (300)

Laplace transform of spherical Bessel functions [PDF]

open access: yes, 2001
We provide a simple analytic formula in terms of elementary functions for the Laplace transform j_{l}(p) of the spherical Bessel function than that appearing in the literature, and we show that any such integral transform is a polynomial of order l in ...
A Ludu   +7 more
core   +5 more sources

The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator

open access: yesStudia Universitatis Babeş-Bolyai. Mathematica, 2018
In our present investigation, we first introduce several new subclasses of analytic and bi-univalent functions by using a certain $q$-integral operator in the open unit disk $$\mathbb{U}=\{z: z\in \mathbb{C} \quad \text{and} \quad \left \vert z\right ...
H. Srivastava   +4 more
semanticscholar   +1 more source

Liouvillian first integrals of quadratic–linear polynomial differential systems

open access: yesJournal of Mathematical Analysis and Applications, 2011
Agraïments: The second author has been partially supported by FCT through CAMGSD, Lisbon. For a large class of quadratic-linear polynomial differential systems with a unique singular point at the origin having non-zero eigenvalues, we classify the ones which have a Liouvillian first integral, and we provide the explicit expression of them.
Llibre, Jaume, Valls, Clàudia
openaire   +2 more sources

Bounds for the Remainder in Simpson’s Inequality via n-Polynomial Convex Functions of Higher Order Using Katugampola Fractional Integrals

open access: yesJournal of Mathematics, 2020
The goal of this paper is to derive some new variants of Simpson’s inequality using the class of n-polynomial convex functions of higher order. To obtain the main results of the paper, we first derive a new generalized fractional integral identity ...
Yu-Ming Chu   +3 more
doaj   +1 more source

Numerical solution of Fredholm integral equation of the first kind with degenerated kernel by using Hermite polynomial [PDF]

open access: yesمجلة التربية والعلم, 2006
In this paper we used Hermite polynomial with Galerkin , collocation and least square methods for solving fredholm integral equations of the first kind (F.I.E.F.K) with degenerated kernel .The algorithms and computer applications of the algorithms are ...
Talhat I.Hassan, Najmaddin A.Sulaiman
doaj   +1 more source

In-Motion Alignment Method of SINS Based on Improved Kalman Filter under Geographic Latitude Uncertainty

open access: yesRemote Sensing, 2022
To realize the in-motion alignment of the strapdown inertial navigation system (SINS) under the geographic latitude uncertainty, we propose a latitude estimation and in-motion alignment method based on the integral dynamic window and polynomial fitting ...
Jin Sun, Qianqi Ye, Yue Lei
doaj   +1 more source

Hydrodynamic-type systems describing 2-dimensional polynomially integrable geodesic flows

open access: yes, 2016
Starting from a homogeneous polynomial in momenta of arbitrary order we extract multi-component hydrodynamic-type systems which describe 2-dimensional geodesic flows admitting the initial polynomial as integral.
Manno, Gianni, Pavlov, Maxim V.
core   +1 more source

Efficient algorithms for computing rational first integrals and Darboux polynomials of planar polynomial vector fields [PDF]

open access: yesMathematics of Computation, 2015
We present fast algorithms for computing rational first integrals with bounded degree of a planar polynomial vector field. Our approach is inspired by an idea of Ferragut and Giacomini. We improve upon their work by proving that rational first integrals can be computed via systems of linear equations instead of systems of quadratic equations.
Bostan, Alin   +3 more
openaire   +4 more sources

Equilibrium Computation in Resource Allocation Games

open access: yes, 2022
We study the equilibrium computation problem for two classical resource allocation games: atomic splittable congestion games and multimarket Cournot oligopolies.
Harks, Tobias, Tan-Timmermans, Veerle
core  

On the integrability and dynamics of the Hide, Skeldon and Acheson differential system

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
The family of systems \begin{equation*} \dot{x}= x(y-1)-\beta z,\quad \dot{y}= \alpha (1-x^2)-\kappa y, \quad \dot{z}= x-\lambda z, \end{equation*} where $(x,y,z) \in \mathbb{R}^3$ and $\alpha$, $\beta$, $\kappa$, $\lambda$ are real parameters, was ...
Érika Diz-Pita   +3 more
doaj   +1 more source

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