Results 11 to 20 of about 145 (109)

A footnote to the Poincaré complete reducibility theorem [PDF]

, 1992
Poincaré's work on the reduction of abelian integrals contains implicitly an algorithm for the expression of a theta function as a sum of products of theta functions of fewer variables in the presence of reduction .
Martens, Henrik K.
core   +2 more sources

The problem of first integral of nonholonomic systems [PDF]

, 2001
In this paper, the problem of first integrals of a nonholonomic system is discussed. The aim of this work is concentra.ted on finding the condition for existence of first integrals.
Sanh, Do
core   +2 more sources

Poincaré and the Three Body Problem [PDF]

, 1993
The purpose of the thesis is to present an account of Henri Poincare's famous memoir on the three body problem, the final version of which was published in Acta Mathematica in 1890 as the prize-winning entry in King Oscar II's 60th birthday competition ...
Barrow-Green, June Elizabeth
core   +1 more source

Appell-Type Functions and Chebyshev Polynomials

Mathematics, 2019
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
P. Natalini, P. Ricci
semanticscholar   +1 more source

Fractional Integral and Beta Transform Formulas for the extended Appell-Lauricella Hypergeometric Functions

, 2018
The fractional integral formulas involving many special functions have been investigated in the literature by many authors due to their application point of view.
Shilpi Jain, P. Agarwal, Onur Kiymaz
semanticscholar   +1 more source

Infrared Behavior of Three-Point Functions in Landau Gauge Yang-Mills Theory

, 2009
Analytic solutions for the three-gluon and ghost-gluon vertices in Landau gauge Yang-Mills theory at low momenta are presented in terms of hypergeometric series.
A. Cucchieri, A. Cucchieri, A. Cucchieri, A. Erdélyi, A. Maas, A. Maas, A.C. Aguilar, A.I. Davydychev, A.I. Davydychev, C. Anastasiou, C. Kellermann, C. Lerche, C.S. Fischer, D. Dudal, D. Zwanziger, D. Zwanziger, E.E. Boos, E.M. Ilgenfritz, H. Exton, H.M. Srivastava, I.S. Gradshteyn, J. Horn, J.C. Taylor, J.M. Pawlowski, J.S. Ball, K. Schwenzer, L. Smekal von, L. Smekal von, M. Abramowitz, M. Q. Huber, M.Q. Huber, P. Boucaud, R. Alkofer, R. Alkofer, R. Alkofer, R. Alkofer, R. Alkofer, R. Alkofer, R. Alkofer, S. Wolfram, T. Kugo, V.N. Gribov, W. Celmaster, W. Schleifenbaum   +43 more
core   +1 more source

Fuchs versus Painlevé [PDF]

, 2007
We, briefly, recall the Fuchs–Painlevé elliptic representation of Painlevé VI. We then show that the polynomiality of the expressions of the correlation functions (and form factors) in terms of the complete elliptic integral of the first and second kinds,
S. Boukraa, S. Hassani, J. Maillard, Barry M. McCoy, Jacques-Arthur Weil, N. Zenine   +5 more
semanticscholar   +1 more source

HIGH-ENERGY EMISSIONS FROM THE GAMMA-RAY BINARY LS 5039 [PDF]

, 2014
We study mechanisms of multi-wavelength emissions (X-ray, GeV, and TeV gamma-rays) from the gamma-ray binary LS 5039. This paper is composed of two parts.
J. Takata, Gene C.K.Leung, P. Tam, A. Kong, C. Hui, K. Kong, National Tsing hua University, Chungnam National University   +7 more
semanticscholar   +1 more source

Bound states and transmission antiresonances in parabolically confined cross structures: Influence of weak magnetic fields [PDF]

, 1997
The ballistic conductance through a device consisting of quantum wires, to which two stubs are attached laterally, is calculated assuming parabolic confining potentials of frequencies $\omega_w$ for the wires and $\omega_s$ for the stubs.
R. Akis, P. Vasilopoulos, P. D. Csser, Arizona State University, Az Tempe, Usa, C. University, D. Physics, Montreal, Canada., Spec, C. Saclay, Gif-sur-Yvette, France.   +13 more
semanticscholar   +1 more source

A Unified Framework for Dynamic Analysis and Path Tracking Control of Multi‐Rotor Aerial Manipulators

International Journal of Mechanical System Dynamics, Volume 5, Issue 4, Page 629-653, December 2025.
ABSTRACT This study presents a comprehensive and standardized foundation for the mathematical modeling and control of flying‐base‐mounted manipulators, addressing several critical challenges in aerial robotics. The primary contributions of this study include: (1) the development of a unified framework for computing the system's generalized forces ...
S. A. Mirnajafizadeh, A. M. Shafei
wiley   +1 more source