Takemura, K. Fuchsian equation, Hermite-Krichever Ansatz and Painlevé equation. arXiv:math.CA/0501428Takemura K 2005 Fuchsian Equation, Hermite-Krichever ansatz and Painleve equation, preprint math.CA/0501428Fuchsian Equation, Hermite-Krichever ansatz and Painleve equation, preprint math.CA/0501428...
This impliesP⋅∫01f(x,t)dx=[2x(x−1)t−xf(x,t)]x=0x=1, so the integral F(t)=∫011x(x−1)(x−t)dx satisfies the differential equation4(t−1)tF″(t)+4(2t−1)F′(t)+F(t)=0. In the common case when the right-hand side collapses to zero, we say that th...
It is given a structure of solvable subgroup which has finite element in this paper.The solvable group of SL(n,C) and the solvability of Fuchsian equation are contracted by Khovanskiy theorem,such that the solvability of Fuchsian equation' research is transformed the solvability of its monodro...
We give the Fuchsian differential equation of order 7 for χ(3) that reproduces all the terms of our long series. An analysis of the properties of this Fuchsian differential equation is performed.DOI: 10.1088/0305-4470/37/41/004 被引量: 53 ...
We obtain the solution of a second-order linear differential equation with coefficients analytic in the vicinity of a Fuchsian zero point. This solution is expressed via the hypergeometric functions and fractional-order hypergeometric functions introduced in the paper. This is a preview of subscription...
Bhatia, R., Rosenthal, P.: How and why to solve the operator equation \(AX-XB = Y\)? Bull. London Math. Soc. 29, 1–21 (1997) Article MathSciNet MATH Google Scholar Pure Appl. Math. Hypoelliptic operators with double characteristics and related pseudo-differential operators. XXVII, ...
1) Fuchsian type equation Fuchs型方程1. In this paper,we study a class of Fuchsian type equations in cone Sobolev spaces. 本文研究了一类锥Sobolev空间上的Fuchs型方程的解的性态,利用Bony的仿微分算子理论的方法,运用仿积、仿复合、仿线性化等工具,并结合Mellin象征的性质,得到了此类方程的椭圆正则性...
Nevertheless, there is a common point. It is the Hamiltonian nature of the Painlevé equation. We demonstrate how the different normalizations draw us to the different approaches to the problem.M.V. BabichSlavyanov S. Yu会议论文
We construct three types of solutions for a Fuchsian equation with variable indices: (1) branched solutions involving logarithms of the time variable t; (2) solutions involving t x, where x is a space variable; and, (3) for a model case, exact solutions involving hypergeometric functions. ...
We obtain the Fuchsian linear differential equation that annihilates the 'depleted' series Phi((6)) = (X) over tilde ((6)) - 2/3 (X) over tilde ((4)) + 2/45 (X) over tilde ((2)). The factorization of the corresponding differential operator is performed using a method of ...