Results 21 to 30 of about 133,610 (281)
A refined asymptotics of the Jacobi theta functions and their logarithmic derivatives have been received. The asymptotics of the Nevanlinna characteristics of the indicated functions and the arbitrary elliptic function have been found.
Mykola Korenkov, Yurii Kharkevych
doaj +1 more source
Uniqueness at infinity in time for the Maxwell-Schr"odinger system with arbitrarily large asymptotic data [PDF]
We prove the uniqueness of solutions of the Maxwell-Schr"odinger system with given asymptotic behaviour at infinity in time. The assumptions include suitable restrictions on the growth of solutions for large time and on the accuracy of their asymptotics,
Ginibre, J., Velo, G.
core +5 more sources
Long-time asymptotics for the Degasperis-Procesi equation on the half-line [PDF]
We analyze the long-time asymptotics for the Degasperis--Procesi equation on the half-line. By applying nonlinear steepest descent techniques to an associated $3 \times 3$-matrix valued Riemann--Hilbert problem, we find an explicit formula for the ...
de Monvel, A. Boutet +2 more
core +3 more sources
Meanders: exact asymptotics [PDF]
We conjecture that meanders are governed by the gravitational version of a c=-4 two-dimensional conformal field theory, allowing for exact predictions for the meander configuration exponent =\sqrt{29}(\sqrt{29}+\sqrt{5})/12, and the semi-meander exponent {\bar }=1+\sqrt{11}(\sqrt{29}+\sqrt{5})/24.
Di Francesco, P. +2 more
openaire +3 more sources
Application of uniform asymptotics to the fifth Painlevé transcendant
We apply the uniform asymptotics method to the fifth Painlevé transcendants, find its asymptotics of the form y=−1+t−1/2A(t) as t→∞ along the positive t-axis, and obtain the corresponding monodromy data.
Youmin Lu, Zhoude Shao
doaj +1 more source
On the number of partitions of a number into distinct divisors [PDF]
Let p_{dsd}(n) be the number of partitions of n into distinct squarefree divisors of n. In this note, we find a lower bound for p_{dsd}(n), as well as a sequence of n for which p_{dsd} (n) is unusually large.
Noah Lebowitz-Lockard, Joseph Vandehey
doaj +1 more source
On the cardinality of layers in some partially ordered sets
In this paper, we explicitly calculated additional terms of cardinality asymptotics of layers in the n-dimensional k-valued lattice Enk for odd k as n → ∞. The main term had been previously determined by V.B.
T.V. Andreeva, Yu.S. Semenov
doaj +1 more source
Indecomposable permutations with a given number of cycles [PDF]
A permutation $a_1a_2 \ldots a_n$ is $\textit{indecomposable}$ if there does not exist $p \lt n$ such that $a_1a_2 \ldots a_p$ is a permutation of $\{ 1,2, \ldots ,p\}$.
Robert Cori, Claire Mathieu
doaj +1 more source
Asymptotics of density distributions, momentum distributions and form factors of three-nucleon nuclei [PDF]
The structure functions of three-nucleon nuclei 3H and 3He are investigated, and asymptotics of density distributions of nucleons at large distances are established using bound state wave functions with high precision.
D. V. Piatnytskyi, I. V. Simenog
doaj
Asymptotics for Solutions of Harmonic Oscillator with Integral Perturbation
We construct the asymptotics for solutions of a harmonic oscillator with integral perturbation when the independent variable tends to infinity. The specific feature of the considered integral perturbation is an oscillatory decreasing character of its ...
Pavel N. Nesterov
doaj +1 more source

